5072675328 has 640 divisors, whose sum is σ = 18855936000. Its totient is φ = 1313832960.

The previous prime is 5072675281. The next prime is 5072675351. The reversal of 5072675328 is 8235762705.

5072675328 is a `hidden beast` number, since 50 + 7 + 2 + 67 + 532 + 8 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56996308 + ... + 56996396.

It is an arithmetic number, because the mean of its divisors is an integer number (29462400).

Almost surely, 2^5072675328 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 5072675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968000).

5072675328 is an abundant number, since it is smaller than the sum of its proper divisors (13783260672).

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

5072675328 is a wasteful number, since it uses less digits than its factorization.

5072675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5072675328 is about 71222.7163761675. The cubic root of 5072675328 is about 1718.2209981766.

The spelling of 5072675328 in words is "five billion, seventy-two million, six hundred seventy-five thousand, three hundred twenty-eight".