57511272 has 128 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 14266368.

The previous prime is 57511261. The next prime is 57511273. The reversal of 57511272 is 27211575.

It is not an unprimeable number, because it can be changed into a prime (57511273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36354 + ... + 37902.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^57511272 is an apocalyptic number.

57511272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57511272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

57511272 is an abundant number, since it is smaller than the sum of its proper divisors (129976728).

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

57511272 is a wasteful number, since it uses less digits than its factorization.

57511272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1591 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 57511272 is about 7583.6186612988. The cubic root of 57511272 is about 385.9973511411.

The spelling of 57511272 in words is "fifty-seven million, five hundred eleven thousand, two hundred seventy-two".