72172170167 has 6 divisors (see below), whose sum is σ = 74746683648. Its totient is φ = 69683473832.

The previous prime is 72172170163. The next prime is 72172170173. The reversal of 72172170167 is 76107127127.

It is not a de Polignac number, because 72172170167 - 2² = 72172170163 is a prime.

It is a super-2 number, since 2×72172170167² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172170163) 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 5 ways as a sum of consecutive naturals, for example, 42907703 + ... + 42909384.

It is an arithmetic number, because the mean of its divisors is an integer number (12457780608).

Almost surely, 2^72172170167 is an apocalyptic number.

72172170167 is a deficient number, since it is larger than the sum of its proper divisors (2574513481).

72172170167 is an equidigital number, since it uses as much as digits as its factorization.

72172170167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85817145 (or 85817116 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 41.

The spelling of 72172170167 in words is "seventy-two billion, one hundred seventy-two million, one hundred seventy thousand, one hundred sixty-seven".