72632013742080 has 2240 divisors, whose sum is σ = 294838663730688. Its totient is φ = 16971218288640.

The previous prime is 72632013742063. The next prime is 72632013742147. The reversal of 72632013742080 is 8024731023627.

72632013742080 is a `hidden beast` number, since 7 + 2 + 632 + 0 + 1 + 3 + 7 + 4 + 2 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 209314160467 + ... + 209314160813.

Almost surely, 2^{72632013742080} 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 72632013742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147419331865344).

72632013742080 is an abundant number, since it is smaller than the sum of its proper divisors (222206649988608).

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

72632013742080 is a wasteful number, since it uses less digits than its factorization.

72632013742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 72632013742080 in words is "seventy-two trillion, six hundred thirty-two billion, thirteen million, seven hundred forty-two thousand, eighty".