57156736 has 96 divisors (see below), whose sum is σ = 142849980. Its totient is φ = 22579200.

The previous prime is 57156727. The next prime is 57156739. The reversal of 57156736 is 63765175.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 3136 = 7560^2 + 56^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57156739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81186 + ... + 81886.

Almost surely, 2^57156736 is an apocalyptic number.

57156736 is a gapful number since it is divisible by the number (56) 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 57156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424990).

57156736 is an abundant number, since it is smaller than the sum of its proper divisors (85693244).

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

57156736 is a wasteful number, since it uses less digits than its factorization.

57156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 723 counting only the distinct ones).

The product of its digits is 132300, while the sum is 40.

The square root of 57156736 is about 7560.2074045624. The cubic root of 57156736 is about 385.2025380596.

The spelling of 57156736 in words is "fifty-seven million, one hundred fifty-six thousand, seven hundred thirty-six".