Cover - USD ($) $ in Millions	12 Months Ended
Cover - USD ($) $ in Millions	Dec. 31, 2025	Feb. 12, 2026	Jun. 30, 2025
Document Information [Line Items]
Document Type	10-K
Document Annual Report	true
Document Period End Date	Dec. 31, 2025
Current Fiscal Year End Date	--12-31
Document Transition Report	false
Entity File Number	001-36844
Entity Registrant Name	RITHM PROPERTY TRUST INC.
Entity Incorporation, State or Country Code	MD
Entity Tax Identification Number	46-5211870
Entity Address, Address Line One	799 Broadway
Entity Address, City or Town	New York
Entity Address, State or Province	NY
Entity Address, Postal Zip Code	10003
City Area Code	646
Local Phone Number	868-5483
Entity Well-known Seasoned Issuer	No
Entity Voluntary Filers	No
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Non-accelerated Filer
Entity Small Business	true
Entity Emerging Growth Company	false
ICFR Auditor Attestation Flag	false
Document Financial Statement Error Correction	false
Entity Shell Company	false
Entity Public Float			$ 104.3
Entity Common Stock, Shares Outstanding (in shares)		7,571,310
Documents Incorporated by Reference	The information required by Part III (Items 10, 11, 12, 13 and 14) will be incorporated by reference from the registrant’s Definitive Proxy Statement for its 2026 Annual Meeting of Stockholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A.
Entity Central Index Key	0001614806
Amendment Flag	false
Document Fiscal Year Focus	2025
Document Fiscal Period Focus	FY
Common stock, par value $0.01 per share
Document Information [Line Items]
Title of 12(b) Security	Common stock, par value $0.01 per share
Trading Symbol	RPT
Security Exchange Name	NYSE
9.875% Series C Fixed-to-Floating Rate Cumulative Redeemable Preferred Stock
Document Information [Line Items]
Title of 12(b) Security	9.875% Series C Fixed-to-Floating Rate Cumulative Redeemable Preferred Stock
Trading Symbol	RPT.PRC
Security Exchange Name	NYSE