During the off-season, the 76ers dismissed coach Dolph Schayes of Syracuse National fame. Alex Hannum, the former 1950s power forward, who was the last man to coach a winner past Boston, was the new coach. The 43-year-old Hannum looked like he could still play, and often ran with the club in practice.
Hannum's 76ers would share the ball, or play 'Celtic-ball' as some observed.Wilt Chamberlain would not be expected to hold the team afloat like Atlas but would pass more and get the others involved. His eight assists per game set a record for centers and made him third in the NBA overall, while scoring 24 per game and again leading the NBA in rebounds and blocked shots.
Shooting less, he made a league-record 68% of his shots; his 875 free throw attempts, another league record, offset his dismal percentage from the foul line.
The 76ers also had three other players around the 20 point-per-game mark this season in Hal Greer with 22 points, Chet Walker and Billy Cunningham, both with 19 points. All four players combined won a league-record 68 games together under Hannum's watch. The team averaged a record 125 points per game, leading all teams in shooting accuracy.
The 76ers started the season at 46–4, still the best 50-game start in league history. They finished the season at 68–13, the best record in league history at the time.