57743136 has 108 divisors (see below), whose sum is σ = 180600966. Its totient is φ = 17487360.

The previous prime is 57743131. The next prime is 57743137. The reversal of 57743136 is 63134775.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 5035536 = 7260^2 + 2244^2 .

It is a super-2 number, since 2×57743136² = 6668539510228992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57743136.

It is not an unprimeable number, because it can be changed into a prime (57743131) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 34020 + ... + 35676.

Almost surely, 2^57743136 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 57743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90300483).

57743136 is an abundant number, since it is smaller than the sum of its proper divisors (122857830).

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

57743136 is a wasteful number, since it uses less digits than its factorization.

57743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1673 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 57743136 is about 7598.8904453216. The cubic root of 57743136 is about 386.5153880407.

The spelling of 57743136 in words is "fifty-seven million, seven hundred forty-three thousand, one hundred thirty-six".