Anderson also was a big factor on the boards and on defense, coming up with nine rebounds and five steals.
McCallum's effort included six assists and five rebounds.
Detroit also was effective from 3-point range, converting 11 shots from beyond the arc.
Northern Michigan's shooting touch was off most of the night, hitting just a third of its shots from the field.
T.J. Cameron scored 20 points and grabbed eight rebounds to lead Northern Michigan.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.