72993042432 has 520 divisors, whose sum is σ = 231396667392. Its totient is φ = 22892544000.

The previous prime is 72993042403. The next prime is 72993042481. The reversal of 72993042432 is 23424039927.

72993042432 is a `hidden beast` number, since 7 + 299 + 304 + 24 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483397557 + ... + 483397707.

Almost surely, 2^72993042432 is an apocalyptic number.

72993042432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72993042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115698333696).

72993042432 is an abundant number, since it is smaller than the sum of its proper divisors (158403624960).

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

72993042432 is a wasteful number, since it uses less digits than its factorization.

72993042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 72993042432 in words is "seventy-two billion, nine hundred ninety-three million, forty-two thousand, four hundred thirty-two".