72416242724373 has 24 divisors (see below), whose sum is σ = 104644834164000. Its totient is φ = 48257376631200.

The previous prime is 72416242724363. The next prime is 72416242724431. The reversal of 72416242724373 is 37342724261427.

72416242724373 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 6 + 242 + 7 + 24 + 373 = 666.

It is not a de Polignac number, because 72416242724373 - 2²⁰ = 72416241675797 is a prime.

It is a super-2 number, since 2×72416242724373² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416242724363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471693378 + ... + 471846876.

It is an arithmetic number, because the mean of its divisors is an integer number (4360201423500).

Almost surely, 2^{72416242724373} is an apocalyptic number.

It is an amenable number.

72416242724373 is a deficient number, since it is larger than the sum of its proper divisors (32228591439627).

72416242724373 is a wasteful number, since it uses less digits than its factorization.

72416242724373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175009 (or 175006 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 54.

The spelling of 72416242724373 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-two million, seven hundred twenty-four thousand, three hundred seventy-three".