27582 is a member of OEIS A071927: barely abundant numbers: abundant n such that sigma(n)/n < sigma(m)/m for all abundant numbers m<n. The initial members from 27582 upwards are

27582, 27618, 27726, 27822, 27834, 27858, 27894, 27906

27582 is an interprime number between the twin primes 27581 and 27583.

27582 is a sphenic, admirable, primitive abundant, Zumkeller and pseudoperfect number.

27582 can be rendered as a digital equation as follows:

2 + 7 - 5 = 8 / 2