91572 has 24 divisors (see below), whose sum is σ = 230496. Its totient is φ = 28128.

The previous prime is 91571. The next prime is 91573. The reversal of 91572 is 27519.

It is an interprime number because it is at equal distance from previous prime (91571) and next prime (91573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (9604).

2⁹¹⁵⁷² is an apocalyptic number.

It is an amenable number.

91572 is an abundant number, since it is smaller than the sum of its proper divisors (138924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115248).

91572 is a wasteful number, since it uses less digits than its factorization.

91572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 91572 is about 302.6086581709. The cubic root of 91572 is about 45.0734602614.

The spelling of 91572 in words is "ninety-one thousand, five hundred seventy-two".