57972992 has 144 divisors (see below), whose sum is σ = 153643392. Its totient is φ = 21135360.

The previous prime is 57972989. The next prime is 57973031. The reversal of 57972992 is 29927975.

Its product of digits (714420) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 57972992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335018 + ... + 335190.

It is an arithmetic number, because the mean of its divisors is an integer number (1066968).

Almost surely, 2^57972992 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 57972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76821696).

57972992 is an abundant number, since it is smaller than the sum of its proper divisors (95670400).

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

57972992 is a wasteful number, since it uses less digits than its factorization.

57972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 714420, while the sum is 50.

The square root of 57972992 is about 7613.9997373260. Note that the first 3 decimals coincide. The cubic root of 57972992 is about 387.0275716100.

The spelling of 57972992 in words is "fifty-seven million, nine hundred seventy-two thousand, nine hundred ninety-two".