72992311488 has 280 divisors, whose sum is σ = 226147164672. Its totient is φ = 23255963136.

The previous prime is 72992311487. The next prime is 72992311493. The reversal of 72992311488 is 88411329927.

72992311488 is a `hidden beast` number, since 72 + 9 + 92 + 3 + 1 + 1 + 488 = 666.

It is a super-2 number, since 2×72992311488² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72992311487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10473381 + ... + 10480347.

Almost surely, 2^72992311488 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 72992311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113073582336).

72992311488 is an abundant number, since it is smaller than the sum of its proper divisors (153154853184).

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

72992311488 is a wasteful number, since it uses less digits than its factorization.

72992311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081 (or 7062 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 72992311488 in words is "seventy-two billion, nine hundred ninety-two million, three hundred eleven thousand, four hundred eighty-eight".