72004571600 has 120 divisors (see below), whose sum is σ = 188008617720. Its totient is φ = 26342184960.

The previous prime is 72004571599. The next prime is 72004571623. The reversal of 72004571600 is 617540027.

It can be written as a sum of positive squares in 12 ways, for example, as 37881615424 + 34122956176 = 194632^2 + 184724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503282 + ... + 630318.

It is an arithmetic number, because the mean of its divisors is an integer number (1566738481).

Almost surely, 2^72004571600 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 72004571600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94004308860).

72004571600 is an abundant number, since it is smaller than the sum of its proper divisors (116004046120).

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

72004571600 is a wasteful number, since it uses less digits than its factorization.

72004571600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127177 (or 127166 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 72004571600 in words is "seventy-two billion, four million, five hundred seventy-one thousand, six hundred".