72368613200 has 120 divisors (see below), whose sum is σ = 188715921408. Its totient is φ = 26510077440.

The previous prime is 72368613193. The next prime is 72368613203. The reversal of 72368613200 is 231686327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72368613203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605609 + ... + 715191.

Almost surely, 2^72368613200 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 72368613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94357960704).

72368613200 is an abundant number, since it is smaller than the sum of its proper divisors (116347308208).

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

72368613200 is a wasteful number, since it uses less digits than its factorization.

72368613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109741 (or 109730 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 72368613200 in words is "seventy-two billion, three hundred sixty-eight million, six hundred thirteen thousand, two hundred".