57032000 has 56 divisors (see below), whose sum is σ = 141259560. Its totient is φ = 22809600.

The previous prime is 57031999. The next prime is 57032021. The reversal of 57032000 is 23075.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 55830784 = 1096^2 + 7472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4436 + ... + 11564.

Almost surely, 2^57032000 is an apocalyptic number.

57032000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70629780).

57032000 is an abundant number, since it is smaller than the sum of its proper divisors (84227560).

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

57032000 is an equidigital number, since it uses as much as digits as its factorization.

57032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 57032000 is about 7551.9533896867. The cubic root of 57032000 is about 384.9221183893.

Adding to 57032000 its reverse (23075), we get a palindrome (57055075).

The spelling of 57032000 in words is "fifty-seven million, thirty-two thousand".