57342792 has 64 divisors (see below), whose sum is σ = 155232000. Its totient is φ = 17547264.

The previous prime is 57342781. The next prime is 57342793. The reversal of 57342792 is 29724375.

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 57342792.

It is not an unprimeable number, because it can be changed into a prime (57342793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74184 + ... + 74952.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^57342792 is an apocalyptic number.

57342792 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 57342792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616000).

57342792 is an abundant number, since it is smaller than the sum of its proper divisors (97889208).

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

57342792 is a wasteful number, since it uses less digits than its factorization.

57342792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 57342792 is about 7572.5023605147. The cubic root of 57342792 is about 385.6200544255.

It can be divided in two parts, 573 and 42792, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 57342792 in words is "fifty-seven million, three hundred forty-two thousand, seven hundred ninety-two".