72416728769 has 16 divisors (see below), whose sum is σ = 91989302400. Its totient is φ = 55363925760.

The previous prime is 72416728751. The next prime is 72416728781. The reversal of 72416728769 is 96782761427.

It is not a de Polignac number, because 72416728769 - 2⁸ = 72416728513 is a prime.

It is a super-2 number, since 2×72416728769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72416728669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8868344 + ... + 8876505.

It is an arithmetic number, because the mean of its divisors is an integer number (5749331400).

Almost surely, 2^72416728769 is an apocalyptic number.

It is an amenable number.

72416728769 is a deficient number, since it is larger than the sum of its proper divisors (19572573631).

72416728769 is a wasteful number, since it uses less digits than its factorization.

72416728769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17744920.

The product of its digits is 14224896, while the sum is 59.

The spelling of 72416728769 in words is "seventy-two billion, four hundred sixteen million, seven hundred twenty-eight thousand, seven hundred sixty-nine".