72933822000 has 240 divisors, whose sum is σ = 274329295968. Its totient is φ = 17952883200.

The previous prime is 72933821993. The next prime is 72933822029. The reversal of 72933822000 is 22833927.

72933822000 is a `hidden beast` number, since 72 + 9 + 3 + 382 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78159 + ... + 389841.

Almost surely, 2^72933822000 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 72933822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137164647984).

72933822000 is an abundant number, since it is smaller than the sum of its proper divisors (201395473968).

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

72933822000 is a wasteful number, since it uses less digits than its factorization.

72933822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311725 (or 311706 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72933822000 in words is "seventy-two billion, nine hundred thirty-three million, eight hundred twenty-two thousand".