57057672 has 64 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 16218432.

The previous prime is 57057667. The next prime is 57057719. The reversal of 57057672 is 27675075.

It is a self number, because there is not a number n which added to its sum of digits gives 57057672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36703 + ... + 38225.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^57057672 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 57057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

57057672 is an abundant number, since it is smaller than the sum of its proper divisors (106802808).

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

57057672 is a wasteful number, since it uses less digits than its factorization.

57057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 57057672 is about 7553.6528911514. The cubic root of 57057672 is about 384.9798651414.

The spelling of 57057672 in words is "fifty-seven million, fifty-seven thousand, six hundred seventy-two".