57072656 has 60 divisors (see below), whose sum is σ = 120047004. Its totient is φ = 26265600.

The previous prime is 57072649. The next prime is 57072731. The reversal of 57072656 is 65627075.

57072656 = T₁₆₄₈ + T₁₆₄₉ + ... + T₁₆₈₈.

It can be written as a sum of positive squares in 2 ways, for example, as 20106256 + 36966400 = 4484^2 + 6080^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236696 + ... + 236936.

Almost surely, 2^57072656 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 57072656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

57072656 is an abundant number, since it is smaller than the sum of its proper divisors (62974348).

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

57072656 is a wasteful number, since it uses less digits than its factorization.

57072656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 57072656 is about 7554.6446640461. The cubic root of 57072656 is about 385.0135622366.

The spelling of 57072656 in words is "fifty-seven million, seventy-two thousand, six hundred fifty-six".