89931072 has 252 divisors, whose sum is σ = 308091840. Its totient is φ = 23063040.

The previous prime is 89931043. The next prime is 89931077. The reversal of 89931072 is 27013998.

It is a super-2 number, since 2×89931072² = 16175195422138368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89931072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89931077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138329 + ... + 1138407.

Almost surely, 2^89931072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154045920).

89931072 is an abundant number, since it is smaller than the sum of its proper divisors (218160768).

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

89931072 is a wasteful number, since it uses less digits than its factorization.

89931072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 89931072 is about 9483.1994600978. The cubic root of 89931072 is about 448.0260401530.

The spelling of 89931072 in words is "eighty-nine million, nine hundred thirty-one thousand, seventy-two".