7172568000 has 672 divisors, whose sum is σ = 28269346560. Its totient is φ = 1725235200.

The previous prime is 7172567977. The next prime is 7172568017. The reversal of 7172568000 is 8652717.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73943952 + ... + 73944048.

It is an arithmetic number, because the mean of its divisors is an integer number (42067480).

Almost surely, 2^7172568000 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 7172568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134673280).

7172568000 is an abundant number, since it is smaller than the sum of its proper divisors (21096778560).

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

7172568000 is a wasteful number, since it uses less digits than its factorization.

7172568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7172568000 is about 84691.0148717088. The cubic root of 7172568000 is about 1928.5233050896.

The spelling of 7172568000 in words is "seven billion, one hundred seventy-two million, five hundred sixty-eight thousand".