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Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
CASH FLOWS FROM OPERATING ACTIVITIES      
Net income $ 183,615 $ 173,438 $ 210,256
Adjustments to reconcile net income to net cash provided by operating activities:      
Depreciation, amortization, accretion and other, net 33,914 39,912 31,058
Stock-based compensation expense 6,381 6,469 5,265
Provision (release) for credit losses 500 21,750 (1,650)
Loss (gain) on sale of investment securities (14) (15,028) 9
Prepayment penalty on early extinguishment of debt 13,788 13,809 0
Gain on early termination of long term borrowing hedge (14,110) 0 0
Impairment loss on premises and equipment 944 6,431 0
Net realized (gain) loss on sales of premises, equipment and real estate owned (593) (31,990) (12,484)
Decrease (increase) in accrued interest receivable 3,163 (4,942) (1,562)
Decrease (increase) in federal and state income tax receivable 1,831 (5,708) 1,804
Decrease (increase) in cash surrender value of bank owned life insurance (5,514) (5,673) (5,822)
Decrease (increase) in other assets 155,599 (146,893) (17,416)
Increase (decrease) in federal and state income tax liabilities (15,781) 890 3,043
Increase (decrease) in accrued expenses and other liabilities (49,269) 114,135 21,553
Net cash provided (used) by operating activities 314,454 166,600 234,054
CASH FLOWS FROM INVESTING ACTIVITIES      
Origination of loans and principal repayments, net (556,274) (902,481) (452,334)
Loans purchased (488,147) (15,456) 0
FHLB & FRB stock purchase (296,073) (435,200) (532,600)
FHLB & FRB stock redeemed 335,200 417,200 535,800
Available-for-sale securities purchased (530,227) (1,064,815) (358,709)
Principal payments and maturities of available-for-sale securities 646,532 493,402 224,118
Proceeds from sales of available-for-sale investment securities 1,499 204,351 491
Principal payments and maturities of held-to-maturity securities 332,001 356,532 178,147
Proceeds from sales of real estate owned 3,340 5,022 8,659
Purchase of strategic investments 0 0 (5,000)
Net cash received (paid) in business combinations (1,500) (2,810) 0
Proceeds from sales of premises and equipment 3,376 55,213 15,585
Premises and equipment purchased and REO improvements (29,472) (31,937) (35,530)
Net cash provided (used) by investing activities (579,745) (920,979) (421,373)
Net Cash Provided by (Used in) Financing Activities [Abstract]      
Net increase (decrease) in customer accounts 1,762,488 1,788,860 603,846
Proceeds from borrowings 7,400,000 10,880,000 13,315,000
Repayments of borrowings (8,393,788) (10,443,809) (13,395,000)
Proceeds from the early termination of long term borrowing hedge 14,110 0 0
Proceeds from stock-based awards 339 144 740
Proceeds from issuance of preferred stock, net 293,325 0 0
Dividends paid on common stock (65,876) (66,496) (63,318)
Dividends paid on preferred stock (6,378) 0 0
Treasury stock purchased (348,651) (112,133) (123,854)
Increase (decrease) in advance payments by borrowers for taxes and insurance (2,446) (8,368) 413
Net cash provided (used) by financing activities 653,123 2,038,198 337,827
Increase (decrease) in cash and cash equivalents 387,832 1,283,819 150,508
Cash and cash equivalents at beginning of year 1,702,977 419,158 268,650
Cash and cash equivalents at end of year 2,090,809 1,702,977 419,158
Non-cash investing activities      
Real estate acquired through foreclosure 221 1,765 1,839
Other personal property acquired through foreclosure 0 359 205
Non-cash financing activities      
Stock issued upon exercise of warrants 0 0 1,082
Preferred stock dividend payable 3,656 0
Cash paid during the year for      
Interest 71,845 146,675 194,277
Income taxes $ 47,854 $ 35,640 $ 33,545