72915118848 has 864 divisors, whose sum is σ = 261417461760. Its totient is φ = 19403366400.

The previous prime is 72915118841. The next prime is 72915118889. The reversal of 72915118848 is 84881151927.

72915118848 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 511 + 88 + 48 = 666.

It is a super-2 number, since 2×72915118848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72915118794 and 72915118803.

It is not an unprimeable number, because it can be changed into a prime (72915118841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1235849443 + ... + 1235849501.

Almost surely, 2^72915118848 is an apocalyptic number.

72915118848 is a gapful number since it is divisible by the number (78) 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 72915118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130708730880).

72915118848 is an abundant number, since it is smaller than the sum of its proper divisors (188502342912).

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

72915118848 is a wasteful number, since it uses less digits than its factorization.

72915118848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 72915118848 in words is "seventy-two billion, nine hundred fifteen million, one hundred eighteen thousand, eight hundred forty-eight".