57666672 has 120 divisors (see below), whose sum is σ = 194213760. Its totient is φ = 15603840.

The previous prime is 57666667. The next prime is 57666689. The reversal of 57666672 is 27666675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17647 + ... + 20657.

It is an arithmetic number, because the mean of its divisors is an integer number (1618448).

Almost surely, 2^57666672 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 57666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97106880).

57666672 is an abundant number, since it is smaller than the sum of its proper divisors (136547088).

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

57666672 is a wasteful number, since it uses less digits than its factorization.

57666672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 57666672 is about 7593.8575177574. The cubic root of 57666672 is about 386.3447035823.

The spelling of 57666672 in words is "fifty-seven million, six hundred sixty-six thousand, six hundred seventy-two".