5072715648 has 768 divisors, whose sum is σ = 20209512960. Its totient is φ = 1178910720.

The previous prime is 5072715581. The next prime is 5072715649. The reversal of 5072715648 is 8465172705.

It is a super-3 number, since 3×5072715648³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072715649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61117015 + ... + 61117097.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^5072715648 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 5072715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104756480).

5072715648 is an abundant number, since it is smaller than the sum of its proper divisors (15136797312).

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

5072715648 is a wasteful number, since it uses less digits than its factorization.

5072715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5072715648 is about 71222.9994313635. Note that the first 3 decimals coincide. The cubic root of 5072715648 is about 1718.2255505731.

The spelling of 5072715648 in words is "five billion, seventy-two million, seven hundred fifteen thousand, six hundred forty-eight".