72856990080000 has 3520 divisors, whose sum is σ = 322242033541120. Its totient is φ = 15909322752000.

The previous prime is 72856990079983. The next prime is 72856990080001. The reversal of 72856990080000 is 8009965827.

It is a happy number.

72856990080000 is a `hidden beast` number, since 72 + 8 + 569 + 9 + 0 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72856990080001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 326712959889 + ... + 326712960111.

It is an arithmetic number, because the mean of its divisors is an integer number (91546032256).

Almost surely, 2^{72856990080000} is an apocalyptic number.

72856990080000 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 72856990080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161121016770560).

72856990080000 is an abundant number, since it is smaller than the sum of its proper divisors (249385043461120).

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

72856990080000 is a wasteful number, since it uses less digits than its factorization.

72856990080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 72856990080000 in words is "seventy-two trillion, eight hundred fifty-six billion, nine hundred ninety million, eighty thousand".