72993393000 has 1280 divisors, whose sum is σ = 303344870400. Its totient is φ = 16174080000.

The previous prime is 72993392977. The next prime is 72993393029. The reversal of 72993393000 is 39339927.

72993393000 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 339 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 923966961 + ... + 923967039.

It is an arithmetic number, because the mean of its divisors is an integer number (236988180).

Almost surely, 2^72993393000 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 72993393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151672435200).

72993393000 is an abundant number, since it is smaller than the sum of its proper divisors (230351477400).

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

72993393000 is a wasteful number, since it uses less digits than its factorization.

72993393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The spelling of 72993393000 in words is "seventy-two billion, nine hundred ninety-three million, three hundred ninety-three thousand".