57127392 has 144 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 15918336.

The previous prime is 57127379. The next prime is 57127393. The reversal of 57127392 is 29372175.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57127393) 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, 86359 + ... + 87017.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 2^57127392 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 57127392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

57127392 is an abundant number, since it is smaller than the sum of its proper divisors (133142688).

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

57127392 is a wasteful number, since it uses less digits than its factorization.

57127392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 57127392 is about 7558.2664679145. The cubic root of 57127392 is about 385.1366063836.

It can be divided in two parts, 57 and 127392, that added together give a square (127449 = 357²).

The spelling of 57127392 in words is "fifty-seven million, one hundred twenty-seven thousand, three hundred ninety-two".