5072296800 has 432 divisors, whose sum is σ = 17958350592. Its totient is φ = 1242931200.

The previous prime is 5072296799. The next prime is 5072296891. The reversal of 5072296800 is 86922705.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49245549 + ... + 49245651.

It is an arithmetic number, because the mean of its divisors is an integer number (41570256).

Almost surely, 2^5072296800 is an apocalyptic number.

5072296800 is a gapful number since it is divisible by the number (50) 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 5072296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979175296).

5072296800 is an abundant number, since it is smaller than the sum of its proper divisors (12886053792).

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

5072296800 is a wasteful number, since it uses less digits than its factorization.

5072296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5072296800 is about 71220.0589721744. The cubic root of 5072296800 is about 1718.1782586691.

The spelling of 5072296800 in words is "five billion, seventy-two million, two hundred ninety-six thousand, eight hundred".