72962885632 has 384 divisors, whose sum is σ = 188974356480. Its totient is φ = 27391426560.

The previous prime is 72962885603. The next prime is 72962885641. The reversal of 72962885632 is 23658826927.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421750698 + ... + 421750870.

It is an arithmetic number, because the mean of its divisors is an integer number (492120720).

Almost surely, 2^72962885632 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 72962885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94487178240).

72962885632 is an abundant number, since it is smaller than the sum of its proper divisors (116011470848).

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

72962885632 is a wasteful number, since it uses less digits than its factorization.

72962885632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 72962885632 in words is "seventy-two billion, nine hundred sixty-two million, eight hundred eighty-five thousand, six hundred thirty-two".