57972432 has 80 divisors (see below), whose sum is σ = 174845952. Its totient is φ = 16206720.

The previous prime is 57972419. The next prime is 57972433. The reversal of 57972432 is 23427975.

57972432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57972433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13957 + ... + 17627.

Almost surely, 2^57972432 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 57972432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87422976).

57972432 is an abundant number, since it is smaller than the sum of its proper divisors (116873520).

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

57972432 is a wasteful number, since it uses less digits than its factorization.

57972432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 57972432 is about 7613.9629628729. The cubic root of 57972432 is about 387.0263254198.

The spelling of 57972432 in words is "fifty-seven million, nine hundred seventy-two thousand, four hundred thirty-two".