57319272 has 64 divisors (see below), whose sum is σ = 159984000. Its totient is φ = 19014912.

The previous prime is 57319247. The next prime is 57319303. The reversal of 57319272 is 27291375.

57319272 is a `hidden beast` number, since 573 + 19 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 56304 + ... + 57312.

It is an arithmetic number, because the mean of its divisors is an integer number (2499750).

Almost surely, 2^57319272 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 57319272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79992000).

57319272 is an abundant number, since it is smaller than the sum of its proper divisors (102664728).

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

57319272 is a wasteful number, since it uses less digits than its factorization.

57319272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 57319272 is about 7570.9492139361. The cubic root of 57319272 is about 385.5673246131.

The spelling of 57319272 in words is "fifty-seven million, three hundred nineteen thousand, two hundred seventy-two".