57493072 has 60 divisors (see below), whose sum is σ = 139571796. Its totient is φ = 22740480.

The previous prime is 57493061. The next prime is 57493097. The reversal of 57493072 is 27039475.

It can be written as a sum of positive squares in 2 ways, for example, as 36917776 + 20575296 = 6076^2 + 4536^2 .

It is a congruent number.

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, 7372 + ... + 13012.

Almost surely, 2^57493072 is an apocalyptic number.

57493072 is a gapful number since it is divisible by the number (52) 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 57493072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69785898).

57493072 is an abundant number, since it is smaller than the sum of its proper divisors (82078724).

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

57493072 is a wasteful number, since it uses less digits than its factorization.

57493072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 57493072 is about 7582.4186114986. The cubic root of 57493072 is about 385.9566293097.

The spelling of 57493072 in words is "fifty-seven million, four hundred ninety-three thousand, seventy-two".