57000072 has 64 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 17582400.

The previous prime is 57000071. The next prime is 57000089. The reversal of 57000072 is 27000075.

It is not an unprimeable number, because it can be changed into a prime (57000071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^57000072 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 57000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

57000072 is an abundant number, since it is smaller than the sum of its proper divisors (96538488).

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

57000072 is a wasteful number, since it uses less digits than its factorization.

57000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 57000072 is about 7549.8392035857. The cubic root of 57000072 is about 384.8502751698.

The spelling of 57000072 in words is "fifty-seven million, seventy-two", and thus it is an aban number and an uban number.