72116419967 has 4 divisors (see below), whose sum is σ = 76358562336. Its totient is φ = 67874277600.

The previous prime is 72116419939. The next prime is 72116420009. The reversal of 72116419967 is 76991461127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76991461127 = 7 ⋅10998780161.

It is a cyclic number.

It is not a de Polignac number, because 72116419967 - 2³⁰ = 71042678143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116419927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2121071159 + ... + 2121071192.

It is an arithmetic number, because the mean of its divisors is an integer number (19089640584).

Almost surely, 2^72116419967 is an apocalyptic number.

72116419967 is a deficient number, since it is larger than the sum of its proper divisors (4242142369).

72116419967 is a wasteful number, since it uses less digits than its factorization.

72116419967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242142368.

The product of its digits is 1143072, while the sum is 53.

The spelling of 72116419967 in words is "seventy-two billion, one hundred sixteen million, four hundred nineteen thousand, nine hundred sixty-seven".