72944330712000 has 1792 divisors, whose sum is σ = 273423889170432. Its totient is φ = 16982784000000.

The previous prime is 72944330711929. The next prime is 72944330712053. The reversal of 72944330712000 is 21703344927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 269167271865 + ... + 269167272135.

It is an arithmetic number, because the mean of its divisors is an integer number (152580295296).

Almost surely, 2^{72944330712000} 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 72944330712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136711944585216).

72944330712000 is an abundant number, since it is smaller than the sum of its proper divisors (200479558458432).

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

72944330712000 is a wasteful number, since it uses less digits than its factorization.

72944330712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 72944330712000 in words is "seventy-two trillion, nine hundred forty-four billion, three hundred thirty million, seven hundred twelve thousand".