72625247923200 has 792 divisors, whose sum is σ = 281931202605312. Its totient is φ = 16438803333120.

The previous prime is 72625247923177. The next prime is 72625247923219. The reversal of 72625247923200 is 232974252627.

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, 387515917 + ... + 387703283.

Almost surely, 2^{72625247923200} is an apocalyptic number.

72625247923200 is a gapful number since it is divisible by the number (70) 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 72625247923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140965601302656).

72625247923200 is an abundant number, since it is smaller than the sum of its proper divisors (209305954682112).

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

72625247923200 is a wasteful number, since it uses less digits than its factorization.

72625247923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187517 (or 187487 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 72625247923200 in words is "seventy-two trillion, six hundred twenty-five billion, two hundred forty-seven million, nine hundred twenty-three thousand, two hundred".