57432144 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 14515200.

The previous prime is 57432139. The next prime is 57432157. The reversal of 57432144 is 44123475.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151347 + ... + 151725.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^57432144 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 57432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

57432144 is an abundant number, since it is smaller than the sum of its proper divisors (132555696).

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

57432144 is a wasteful number, since it uses less digits than its factorization.

57432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 57432144 is about 7578.3998310989. The cubic root of 57432144 is about 385.8202425740.

It can be divided in two parts, 5743 and 2144, that added together give a palindrome (7887).

The spelling of 57432144 in words is "fifty-seven million, four hundred thirty-two thousand, one hundred forty-four".