Pretty sure this is the correct answer. 72-10 regular season 15-3 playoffs leading to a championship 87-13 overall I would assume this is correct because the Bulls hold the regular season record for wins in a season. Adding to this the most wins possible in the playoffs at that time and I believe this is correct.
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Surprising, that record belongs to the Philadelphia 76ers. Originally the 'Syracuse Nationals', the 76ers appeared in the NBA Playoffs for 22 consecutive years from 1950 to 1971.
The 1996 Chicago Bulls won a total of 49 games at home including an undefeated run during the playoffs.