90572832 has 72 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 25877376.

The previous prime is 90572831. The next prime is 90572843. The reversal of 90572832 is 23827509.

It is a happy number.

90572832 is a `hidden beast` number, since 9 + 0 + 572 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90572831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20448 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (4088448).

Almost surely, 2^90572832 is an apocalyptic number.

It is an amenable number.

90572832 is an abundant number, since it is smaller than the sum of its proper divisors (203795424).

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

90572832 is a wasteful number, since it uses less digits than its factorization.

90572832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44950 (or 44939 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90572832 is about 9516.9759903028. The cubic root of 90572832 is about 449.0892394254.

It can be divided in two parts, 905 and 72832, that added together give a palindrome (73737).

The spelling of 90572832 in words is "ninety million, five hundred seventy-two thousand, eight hundred thirty-two".