57342272 has 56 divisors (see below), whose sum is σ = 125605032. Its totient is φ = 25820160.

The previous prime is 57342253. The next prime is 57342301. The reversal of 57342272 is 27224375.

57342272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42719296 + 14622976 = 6536^2 + 3824^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (23520) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398572 + ... + 1398612.

It is an arithmetic number, because the mean of its divisors is an integer number (2242947).

Almost surely, 2^57342272 is an apocalyptic number.

57342272 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 57342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62802516).

57342272 is an abundant number, since it is smaller than the sum of its proper divisors (68262760).

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

57342272 is an frugal number, since it uses more digits than its factorization.

57342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 56 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 57342272 is about 7572.4680256836. The cubic root of 57342272 is about 385.6188887862.

The spelling of 57342272 in words is "fifty-seven million, three hundred forty-two thousand, two hundred seventy-two".