57152760 has 128 divisors (see below), whose sum is σ = 206323200. Its totient is φ = 12372480.

The previous prime is 57152749. The next prime is 57152783. The reversal of 57152760 is 6725175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14170 + ... + 17750.

It is an arithmetic number, because the mean of its divisors is an integer number (1611900).

Almost surely, 2^57152760 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 57152760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103161600).

57152760 is an abundant number, since it is smaller than the sum of its proper divisors (149170440).

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

57152760 is a wasteful number, since it uses less digits than its factorization.

57152760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 57152760 is about 7559.9444442403. The cubic root of 57152760 is about 385.1936058910.

The spelling of 57152760 in words is "fifty-seven million, one hundred fifty-two thousand, seven hundred sixty".