72516787200 has 1584 divisors, whose sum is σ = 319311562752. Its totient is φ = 15482880000.

The previous prime is 72516787163. The next prime is 72516787219. The reversal of 72516787200 is 278761527.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1021363165 + ... + 1021363235.

Almost surely, 2^72516787200 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 72516787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655781376).

72516787200 is an abundant number, since it is smaller than the sum of its proper divisors (246794775552).

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

72516787200 is a wasteful number, since it uses less digits than its factorization.

72516787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72516787200 in words is "seventy-two billion, five hundred sixteen million, seven hundred eighty-seven thousand, two hundred".