72983116800 has 1056 divisors, whose sum is σ = 303375225600. Its totient is φ = 17031168000.

The previous prime is 72983116777. The next prime is 72983116819. The reversal of 72983116800 is 861138927.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220492635 + ... + 220492965.

Almost surely, 2^72983116800 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 72983116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151687612800).

72983116800 is an abundant number, since it is smaller than the sum of its proper divisors (230392108800).

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

72983116800 is a wasteful number, since it uses less digits than its factorization.

72983116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 72983116800 in words is "seventy-two billion, nine hundred eighty-three million, one hundred sixteen thousand, eight hundred".