72868126998528 has 1440 divisors, whose sum is σ = 238476653184000. Its totient is φ = 21938621644800.

The previous prime is 72868126998517. The next prime is 72868126998529. The reversal of 72868126998528 is 82589962186827.

72868126998528 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 81 + 2 + 6 + 9 + 9 + 8 + 528 = 666.

It is a super-2 number, since 2×72868126998528² (a number of 29 digits) contains 22 as substring.

Its product of digits (3344302080) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72868126998529) 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 95 ways as a sum of consecutive naturals, for example, 668514926538 + ... + 668514926646.

Almost surely, 2^{72868126998528} 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 72868126998528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119238326592000).

72868126998528 is an abundant number, since it is smaller than the sum of its proper divisors (165608526185472).

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

72868126998528 is a wasteful number, since it uses less digits than its factorization.

72868126998528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 215 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 81.

The spelling of 72868126998528 in words is "seventy-two trillion, eight hundred sixty-eight billion, one hundred twenty-six million, nine hundred ninety-eight thousand, five hundred twenty-eight".