57247200 has 108 divisors (see below), whose sum is σ = 201893328. Its totient is φ = 15264000.

The previous prime is 57247199. The next prime is 57247237. The reversal of 57247200 is 274275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3225 + ... + 11175.

Almost surely, 2^57247200 is an apocalyptic number.

57247200 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 57247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100946664).

57247200 is an abundant number, since it is smaller than the sum of its proper divisors (144646128).

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

57247200 is a wasteful number, since it uses less digits than its factorization.

57247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57247200 is about 7566.1879437402. The cubic root of 57247200 is about 385.4056555250.

The spelling of 57247200 in words is "fifty-seven million, two hundred forty-seven thousand, two hundred".