57072045312 has 252 divisors, whose sum is σ = 180860917860. Its totient is φ = 17903960064.

The previous prime is 57072045299. The next prime is 57072045319. The reversal of 57072045312 is 21354027075.

57072045312 is a `hidden beast` number, since 57 + 0 + 72 + 0 + 4 + 531 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44261427456 + 12810617856 = 210384^2 + 113184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57072045319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3163614 + ... + 3181602.

It is an arithmetic number, because the mean of its divisors is an integer number (717702055).

Almost surely, 2^57072045312 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 57072045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90430458930).

57072045312 is an abundant number, since it is smaller than the sum of its proper divisors (123788872548).

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

57072045312 is an equidigital number, since it uses as much as digits as its factorization.

57072045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18011 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 57072045312 in words is "fifty-seven billion, seventy-two million, forty-five thousand, three hundred twelve".