90972232 has 32 divisors (see below), whose sum is σ = 185343480. Its totient is φ = 41610240.

The previous prime is 90972227. The next prime is 90972239. The reversal of 90972232 is 23227909.

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 70123876 = 4566^2 + 8374^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90972239) 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, 7882 + ... + 15622.

Almost surely, 2^90972232 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 90972232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92671740).

90972232 is an abundant number, since it is smaller than the sum of its proper divisors (94371248).

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

90972232 is a wasteful number, since it uses less digits than its factorization.

90972232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 90972232 is about 9537.9364644560. The cubic root of 90972232 is about 449.7483893831.

It can be divided in two parts, 90972 and 232, that added together give a square (91204 = 302²).

The spelling of 90972232 in words is "ninety million, nine hundred seventy-two thousand, two hundred thirty-two".