72963355995264 has 384 divisors, whose sum is σ = 230985731592000. Its totient is φ = 20336138919936.

The previous prime is 72963355995247. The next prime is 72963355995269. The reversal of 72963355995264 is 46259955336927.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (72963355995269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644786562 + ... + 644899710.

Almost surely, 2^{72963355995264} 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 72963355995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492865796000).

72963355995264 is an abundant number, since it is smaller than the sum of its proper divisors (158022375596736).

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

72963355995264 is a wasteful number, since it uses less digits than its factorization.

72963355995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114020 (or 114001 counting only the distinct ones).

The product of its digits is 3306744000, while the sum is 75.

The spelling of 72963355995264 in words is "seventy-two trillion, nine hundred sixty-three billion, three hundred fifty-five million, nine hundred ninety-five thousand, two hundred sixty-four".