72510700800 has 432 divisors, whose sum is σ = 244096376832. Its totient is φ = 18953625600.

The previous prime is 72510700789. The next prime is 72510700813. The reversal of 72510700800 is 800701527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319430287 + ... + 319430513.

Almost surely, 2^72510700800 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 72510700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122048188416).

72510700800 is an abundant number, since it is smaller than the sum of its proper divisors (171585676032).

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

72510700800 is a wasteful number, since it uses less digits than its factorization.

72510700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 72510700800 in words is "seventy-two billion, five hundred ten million, seven hundred thousand, eight hundred".