72944643744 has 384 divisors, whose sum is σ = 264215347200. Its totient is φ = 19106565120.

The previous prime is 72944643731. The next prime is 72944643767. The reversal of 72944643744 is 44734644927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552034 + ... + 3572510.

It is an arithmetic number, because the mean of its divisors is an integer number (688060800).

Almost surely, 2^72944643744 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 72944643744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132107673600).

72944643744 is an abundant number, since it is smaller than the sum of its proper divisors (191270703456).

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

72944643744 is a wasteful number, since it uses less digits than its factorization.

72944643744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20553 (or 20539 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 72944643744 in words is "seventy-two billion, nine hundred forty-four million, six hundred forty-three thousand, seven hundred forty-four".