5072612688 has 400 divisors, whose sum is σ = 17483380992. Its totient is φ = 1399680000.

The previous prime is 5072612683. The next prime is 5072612689. The reversal of 5072612688 is 8862162705.

5072612688 is a `hidden beast` number, since 507 + 2 + 61 + 2 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072612681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18717993 + ... + 18718263.

Almost surely, 2^5072612688 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 5072612688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741690496).

5072612688 is an abundant number, since it is smaller than the sum of its proper divisors (12410768304).

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

5072612688 is a wasteful number, since it uses less digits than its factorization.

5072612688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5072612688 is about 71222.2766274710. The cubic root of 5072612688 is about 1718.2139256558.

The spelling of 5072612688 in words is "five billion, seventy-two million, six hundred twelve thousand, six hundred eighty-eight".