72133329600 has 672 divisors, whose sum is σ = 276197242880. Its totient is φ = 18289152000.

The previous prime is 72133329511. The next prime is 72133329617. The reversal of 72133329600 is 692333127.

72133329600 is a `hidden beast` number, since 7 + 2 + 13 + 3 + 32 + 9 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 81690759 + ... + 81691641.

Almost surely, 2^72133329600 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 72133329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138098621440).

72133329600 is an abundant number, since it is smaller than the sum of its proper divisors (204063913280).

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

72133329600 is a wasteful number, since it uses less digits than its factorization.

72133329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 72133329600 in words is "seventy-two billion, one hundred thirty-three million, three hundred twenty-nine thousand, six hundred".