57672400 has 60 divisors (see below), whose sum is σ = 143058304. Its totient is φ = 22320000.

The previous prime is 57672383. The next prime is 57672421. The reversal of 57672400 is 427675.

It is a super-2 number, since 2×57672400² = 6652211443520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 10075 + ... + 14725.

Almost surely, 2^57672400 is an apocalyptic number.

57672400 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 57672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71529152).

57672400 is an abundant number, since it is smaller than the sum of its proper divisors (85385904).

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

57672400 is a wasteful number, since it uses less digits than its factorization.

57672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 57672400 is about 7594.2346553158. The cubic root of 57672400 is about 386.3574949637.

The spelling of 57672400 in words is "fifty-seven million, six hundred seventy-two thousand, four hundred".