57200832 has 84 divisors (see below), whose sum is σ = 176590960. Its totient is φ = 17597952.

The previous prime is 57200831. The next prime is 57200837. The reversal of 57200832 is 23800275.

It is a junction number, because it is equal to n+sod(n) for n = 57200796 and 57200805.

It is not an unprimeable number, because it can be changed into a prime (57200831) 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, 3669 + ... + 11307.

Almost surely, 2^57200832 is an apocalyptic number.

57200832 is a gapful number since it is divisible by the number (52) 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 57200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88295480).

57200832 is an abundant number, since it is smaller than the sum of its proper divisors (119390128).

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

57200832 is a wasteful number, since it uses less digits than its factorization.

57200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57200832 is about 7563.1231644077. The cubic root of 57200832 is about 385.3015729009.

The spelling of 57200832 in words is "fifty-seven million, two hundred thousand, eight hundred thirty-two".