72781628000 has 192 divisors, whose sum is σ = 192622510080. Its totient is φ = 26937792000.

The previous prime is 72781627967. The next prime is 72781628011. The reversal of 72781628000 is 82618727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3256865 + ... + 3279135.

It is an arithmetic number, because the mean of its divisors is an integer number (1003242240).

Almost surely, 2^72781628000 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 72781628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96311255040).

72781628000 is an abundant number, since it is smaller than the sum of its proper divisors (119840882080).

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

72781628000 is a wasteful number, since it uses less digits than its factorization.

72781628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22358 (or 22340 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 72781628000 in words is "seventy-two billion, seven hundred eighty-one million, six hundred twenty-eight thousand".