72167 has 2 divisors, whose sum is σ = 72168. Its totient is φ = 72166.

The previous prime is 72161. The next prime is 72169. The reversal of 72167 is 76127.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72167 - 2⁶ = 72103 is a prime.

Together with 72169, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72167.

It is not a weakly prime, because it can be changed into another prime (72161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36083 + 36084.

It is an arithmetic number, because the mean of its divisors is an integer number (36084).

2⁷²¹⁶⁷ is an apocalyptic number.

72167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72167 is an equidigital number, since it uses as much as digits as its factorization.

72167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 588, while the sum is 23.

The square root of 72167 is about 268.6391631911. The cubic root of 72167 is about 41.6338158844.

The spelling of 72167 in words is "seventy-two thousand, one hundred sixty-seven".