72630322336000 has 576 divisors, whose sum is σ = 223750312531200. Its totient is φ = 23096254464000.

The previous prime is 72630322335973. The next prime is 72630322336027. The reversal of 72630322336000 is 63322303627.

It is an interprime number because it is at equal distance from previous prime (72630322335973) and next prime (72630322336027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86526316 + ... + 87361684.

It is an arithmetic number, because the mean of its divisors is an integer number (388455403700).

Almost surely, 2^{72630322336000} 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 72630322336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111875156265600).

72630322336000 is an abundant number, since it is smaller than the sum of its proper divisors (151119990195200).

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

72630322336000 is a wasteful number, since it uses less digits than its factorization.

72630322336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835443 (or 835419 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 37.

Adding to 72630322336000 its reverse (63322303627), we get a palindrome (72693644639627).

The spelling of 72630322336000 in words is "seventy-two trillion, six hundred thirty billion, three hundred twenty-two million, three hundred thirty-six thousand".