72888670368 has 432 divisors, whose sum is σ = 227664126144. Its totient is φ = 22924892160.

The previous prime is 72888670367. The next prime is 72888670397. The reversal of 72888670368 is 86307688827.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×72888670368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72888670367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436459021 + ... + 436459187.

It is an arithmetic number, because the mean of its divisors is an integer number (527000292).

Almost surely, 2^72888670368 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 72888670368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832063072).

72888670368 is an abundant number, since it is smaller than the sum of its proper divisors (154775455776).

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

72888670368 is a wasteful number, since it uses less digits than its factorization.

72888670368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 72888670368 in words is "seventy-two billion, eight hundred eighty-eight million, six hundred seventy thousand, three hundred sixty-eight".