72792007200 has 432 divisors, whose sum is σ = 280621164096. Its totient is φ = 17608550400.

The previous prime is 72792007199. The next prime is 72792007213. The reversal of 72792007200 is 270029727.

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

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 71 ways as a sum of consecutive naturals, for example, 58844982 + ... + 58846218.

It is an arithmetic number, because the mean of its divisors is an integer number (649586028).

Almost surely, 2^72792007200 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 72792007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140310582048).

72792007200 is an abundant number, since it is smaller than the sum of its proper divisors (207829156896).

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

72792007200 is a wasteful number, since it uses less digits than its factorization.

72792007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 72792007200 in words is "seventy-two billion, seven hundred ninety-two million, seven thousand, two hundred".