57332072 has 64 divisors (see below), whose sum is σ = 130204800. Its totient is φ = 23143680.

The previous prime is 57332059. The next prime is 57332081. The reversal of 57332072 is 27023375.

57332072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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, 69422 + ... + 70242.

It is an arithmetic number, because the mean of its divisors is an integer number (2034450).

Almost surely, 2^57332072 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 57332072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65102400).

57332072 is an abundant number, since it is smaller than the sum of its proper divisors (72872728).

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

57332072 is a wasteful number, since it uses less digits than its factorization.

57332072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 57332072 is about 7571.7945032865. The cubic root of 57332072 is about 385.5960228982.

The spelling of 57332072 in words is "fifty-seven million, three hundred thirty-two thousand, seventy-two".