57745272 has 96 divisors (see below), whose sum is σ = 163382400. Its totient is φ = 16967808.

The previous prime is 57745211. The next prime is 57745273. The reversal of 57745272 is 27254775.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 57745272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57745273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92979 + ... + 93597.

It is an arithmetic number, because the mean of its divisors is an integer number (1701900).

Almost surely, 2^57745272 is an apocalyptic number.

57745272 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 57745272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691200).

57745272 is an abundant number, since it is smaller than the sum of its proper divisors (105637128).

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

57745272 is a wasteful number, since it uses less digits than its factorization.

57745272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its digits is 137200, while the sum is 39.

The square root of 57745272 is about 7599.0309908567. The cubic root of 57745272 is about 386.5201538983.

The spelling of 57745272 in words is "fifty-seven million, seven hundred forty-five thousand, two hundred seventy-two".