57713200 has 60 divisors (see below), whose sum is σ = 139690960. Its totient is φ = 22913280.

The previous prime is 57713191. The next prime is 57713231. The reversal of 57713200 is 231775.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62341 + ... + 63259.

Almost surely, 2^57713200 is an apocalyptic number.

57713200 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 57713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845480).

57713200 is an abundant number, since it is smaller than the sum of its proper divisors (81977760).

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

57713200 is a wasteful number, since it uses less digits than its factorization.

57713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 57713200 is about 7596.9204287000. The cubic root of 57713200 is about 386.4485822661.

Adding to 57713200 its reverse (231775), we get a palindrome (57944975).

The spelling of 57713200 in words is "fifty-seven million, seven hundred thirteen thousand, two hundred".