Binghamton (2-4) had a 13-4 run to close out the first half and take a 37-22 lead at the break. The Bearcats, who led throughout, opened the second half with a 14-2 run and coasted to the win.
Colgate, which had snapped a three-game losing streak with a 71-63 win over UMBC on Saturday, never challenged.
Everson Davis and Willie Rodriquez added 10 points apiece for Binghamton.
Binghamton was 19 of 46 (41 percent) from the floor, while holding Colgate (2-4), to 19-of-64 (29.7 percent) shooting.