72046199113920 has 560 divisors, whose sum is σ = 262081750867200. Its totient is φ = 18781103646720.

The previous prime is 72046199113909. The next prime is 72046199113969. The reversal of 72046199113920 is 2931199164027.

72046199113920 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 619 + 9 + 1 + 13 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 273609525 + ... + 273872715.

Almost surely, 2^{72046199113920} 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 72046199113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040875433600).

72046199113920 is an abundant number, since it is smaller than the sum of its proper divisors (190035551753280).

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

72046199113920 is a wasteful number, since it uses less digits than its factorization.

72046199113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263458 (or 263439 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 72046199113920 in words is "seventy-two trillion, forty-six billion, one hundred ninety-nine million, one hundred thirteen thousand, nine hundred twenty".