57372900 has 144 divisors (see below), whose sum is σ = 183154944. Its totient is φ = 13777920.

The previous prime is 57372869. The next prime is 57372907. The reversal of 57372900 is 927375.

It is not an unprimeable number, because it can be changed into a prime (57372907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183144 + ... + 183456.

Almost surely, 2^57372900 is an apocalyptic number.

57372900 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 57372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91577472).

57372900 is an abundant number, since it is smaller than the sum of its proper divisors (125782044).

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

57372900 is a wasteful number, since it uses less digits than its factorization.

57372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 57372900 is about 7574.4900818471. The cubic root of 57372900 is about 385.6875329280.

The spelling of 57372900 in words is "fifty-seven million, three hundred seventy-two thousand, nine hundred".