57200 has 60 divisors (see below), whose sum is σ = 161448. Its totient is φ = 19200.

The previous prime is 57193. The next prime is 57203. The reversal of 57200 is 275.

57200 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57203) 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, 4394 + ... + 4406.

2⁵⁷²⁰⁰ is an apocalyptic number.

57200 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 57200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724).

57200 is an abundant number, since it is smaller than the sum of its proper divisors (104248).

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

57200 is a wasteful number, since it uses less digits than its factorization.

57200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 57200 is about 239.1652148620. The cubic root of 57200 is about 38.5299704790.

Adding to 57200 its reverse (275), we get a palindrome (57475).

The spelling of 57200 in words is "fifty-seven thousand, two hundred".