72963330444 has 48 divisors (see below), whose sum is σ = 191987555200. Its totient is φ = 23958106128.

The previous prime is 72963330439. The next prime is 72963330449. The reversal of 72963330444 is 44403336927.

72963330444 is a `hidden beast` number, since 7 + 2 + 9 + 633 + 3 + 0 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72963330439) and next prime (72963330449).

It is a self number, because there is not a number n which added to its sum of digits gives 72963330444.

It is not an unprimeable number, because it can be changed into a prime (72963330449) 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 15 ways as a sum of consecutive naturals, for example, 5034454 + ... + 5048925.

Almost surely, 2^72963330444 is an apocalyptic number.

It is an amenable number.

72963330444 is an abundant number, since it is smaller than the sum of its proper divisors (119024224756).

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

72963330444 is a wasteful number, since it uses less digits than its factorization.

72963330444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083459 (or 10083451 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 72963330444 in words is "seventy-two billion, nine hundred sixty-three million, three hundred thirty thousand, four hundred forty-four".