72251115200 has 336 divisors, whose sum is σ = 207267742944. Its totient is φ = 24497356800.

The previous prime is 72251115163. The next prime is 72251115259. The reversal of 72251115200 is 251115227.

It is a self number, because there is not a number n which added to its sum of digits gives 72251115200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33808532 + ... + 33810668.

Almost surely, 2^72251115200 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 72251115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103633871472).

72251115200 is an abundant number, since it is smaller than the sum of its proper divisors (135016627744).

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

72251115200 is a wasteful number, since it uses less digits than its factorization.

72251115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The spelling of 72251115200 in words is "seventy-two billion, two hundred fifty-one million, one hundred fifteen thousand, two hundred".