72097607600 has 120 divisors (see below), whose sum is σ = 180378469920. Its totient is φ = 27659520000.

The previous prime is 72097607551. The next prime is 72097607611. The reversal of 72097607600 is 670679027.

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 23 ways as a sum of consecutive naturals, for example, 1731020 + ... + 1772180.

It is an arithmetic number, because the mean of its divisors is an integer number (1503153916).

Almost surely, 2^72097607600 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 72097607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90189234960).

72097607600 is an abundant number, since it is smaller than the sum of its proper divisors (108280862320).

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

72097607600 is a wasteful number, since it uses less digits than its factorization.

72097607600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41359 (or 41348 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The spelling of 72097607600 in words is "seventy-two billion, ninety-seven million, six hundred seven thousand, six hundred".