72856570080 has 1152 divisors, whose sum is σ = 303425740800. Its totient is φ = 14323212288.

The previous prime is 72856570063. The next prime is 72856570141. The reversal of 72856570080 is 8007565827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1234857091 + ... + 1234857149.

It is an arithmetic number, because the mean of its divisors is an integer number (263390400).

Almost surely, 2^72856570080 is an apocalyptic number.

72856570080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72856570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151712870400).

72856570080 is an abundant number, since it is smaller than the sum of its proper divisors (230569170720).

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

72856570080 is a wasteful number, since it uses less digits than its factorization.

72856570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 72856570080 in words is "seventy-two billion, eight hundred fifty-six million, five hundred seventy thousand, eighty".