72237787200 has 1344 divisors, whose sum is σ = 304780492800. Its totient is φ = 16522444800.

The previous prime is 72237787157. The next prime is 72237787261. The reversal of 72237787200 is 278773227.

72237787200 is a `hidden beast` number, since 72 + 2 + 377 + 8 + 7 + 200 = 666.

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 191 ways as a sum of consecutive naturals, for example, 432561517 + ... + 432561683.

It is an arithmetic number, because the mean of its divisors is an integer number (226771200).

Almost surely, 2^72237787200 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 72237787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390246400).

72237787200 is an abundant number, since it is smaller than the sum of its proper divisors (232542705600).

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

72237787200 is a wasteful number, since it uses less digits than its factorization.

72237787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 72237787200 in words is "seventy-two billion, two hundred thirty-seven million, seven hundred eighty-seven thousand, two hundred".