The Cleveland Browns put up 62 points against the Washington Redskins on November 7, 1954.

last time the browns scored 60 points in a game
Interpreted as:
last time the browns scored 60 or more points in a game
11/7/1954Browns12/6/1953Browns6262
TEAMDATETMOPPRESULTPTSPASS TDRUSH TDRET TDTDFGMXPMXP2SFTY
Cleveland BrownsCleveland Browns11/7/1954CLECLEvsWASWAS
W
62-3
624318280
Cleveland BrownsCleveland Browns12/6/1953CLECLEvsNYGNYG
W
62-14
625218280