72398843891712 has 1248 divisors, whose sum is σ = 242567251763200. Its totient is φ = 21425987911680.

The previous prime is 72398843891669. The next prime is 72398843891789. The reversal of 72398843891712 is 21719834889327.

It is a happy number.

72398843891712 is a `hidden beast` number, since 7 + 2 + 3 + 98 + 8 + 438 + 91 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79822319163 + ... + 79822320069.

Almost surely, 2^{72398843891712} is an apocalyptic number.

72398843891712 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 72398843891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121283625881600).

72398843891712 is an abundant number, since it is smaller than the sum of its proper divisors (170168407871488).

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

72398843891712 is a wasteful number, since it uses less digits than its factorization.

72398843891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1155 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 72398843891712 in words is "seventy-two trillion, three hundred ninety-eight billion, eight hundred forty-three million, eight hundred ninety-one thousand, seven hundred twelve".