5005235872 has 96 divisors (see below), whose sum is σ = 12148061184. Its totient is φ = 1976832000.

The previous prime is 5005235821. The next prime is 5005235881. The reversal of 5005235872 is 2785325005.

It is a super-2 number, since 2×5005235872² = 50104772268711200768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2564497 + ... + 2566447.

It is an arithmetic number, because the mean of its divisors is an integer number (126542304).

Almost surely, 2^5005235872 is an apocalyptic number.

5005235872 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 5005235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074030592).

5005235872 is an abundant number, since it is smaller than the sum of its proper divisors (7142825312).

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

5005235872 is a wasteful number, since it uses less digits than its factorization.

5005235872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 5005235872 is about 70747.6916372541. The cubic root of 5005235872 is about 1710.5726194636.

The spelling of 5005235872 in words is "five billion, five million, two hundred thirty-five thousand, eight hundred seventy-two".