72809257600 has 96 divisors (see below), whose sum is σ = 180188941500. Its totient is φ = 29070704640.

The previous prime is 72809257589. The next prime is 72809257663. The reversal of 72809257600 is 675290827.

It can be written as a sum of positive squares in 6 ways, for example, as 16275635776 + 56533621824 = 127576^2 + 237768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761976 + ... + 1802824.

Almost surely, 2^72809257600 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 72809257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90094470750).

72809257600 is an abundant number, since it is smaller than the sum of its proper divisors (107379683900).

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

72809257600 is a wasteful number, since it uses less digits than its factorization.

72809257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41430 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 72809257600 in words is "seventy-two billion, eight hundred nine million, two hundred fifty-seven thousand, six hundred".