57120272 has 60 divisors (see below), whose sum is σ = 128365296. Its totient is φ = 24414720.

The previous prime is 57120263. The next prime is 57120277. The reversal of 57120272 is 27202175.

It is not an unprimeable number, because it can be changed into a prime (57120277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50303 + ... + 51425.

Almost surely, 2^57120272 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 57120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64182648).

57120272 is an abundant number, since it is smaller than the sum of its proper divisors (71245024).

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

57120272 is a wasteful number, since it uses less digits than its factorization.

57120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 57120272 is about 7557.7954457633. The cubic root of 57120272 is about 385.1206053815.

The spelling of 57120272 in words is "fifty-seven million, one hundred twenty thousand, two hundred seventy-two".