57360672 has 72 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 18979200.

The previous prime is 57360617. The next prime is 57360691. The reversal of 57360672 is 27606375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42829 + ... + 44147.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 2^57360672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

57360672 is an abundant number, since it is smaller than the sum of its proper divisors (106963488).

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

57360672 is a wasteful number, since it uses less digits than its factorization.

57360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57360672 is about 7573.6828557842. The cubic root of 57360672 is about 385.6601301980.

The spelling of 57360672 in words is "fifty-seven million, three hundred sixty thousand, six hundred seventy-two".