Ohio State Route 74 (1923)

State Route 32
James A. Rhodes Appalachian Highway
Route of SR 32 in southern Ohio highlighted in red
Route information
Maintained by ODOT
Length:	182.71 mi (294.04 km)
Existed:	1962 – present
Major junctions
West end:	US 50 in Cincinnati
	I-275 in Union Township
East end:	WV 618 on Parkersburg-Belpre Bridge in Belpre
Highway system
Ohio Highways Interstate U.S. State Scenic ← SR 31 US 33 → ← I-74 I-75 →

State Route 32, also known as SR 32 and the James A. Rhodes Appalachian Highway, is a major east–west highway across the southern portion of the U.S. state of Ohio. It is the eighth longest state route in Ohio. It leads from eastern Cincinnati, near the border between the neighborhoods of Linwood, Mount Lookout, and Columbia-Tusculum, to the Parkersburg-Belpre Bridge across the Ohio River in Belpre.

Except in Belpre, leading up to the bridge into West Virginia, the entire route outside Cincinnati's beltway (Interstate 275) is a high-speed four-lane divided highway, forming the Ohio portion of Corridor D of the Appalachian Development Highway System. This corridor continues east across the Ohio River over the Blennerhassett Island Bridge.

The Batavia Turnpike and Miami Bridge Company was incorporated and chartered by the state of Ohio. It built a road, which was "about finished" as of 1841, beginning at the Wooster Turnpike (Eastern Avenue), crossing the Little Miami River on the Union Bridge, and turning east to Batavia. The Ohio Turnpike to Bethel split after the Little Miami was crossed.