72114167 has 2 divisors, whose sum is σ = 72114168. Its totient is φ = 72114166.

The previous prime is 72114157. The next prime is 72114179. The reversal of 72114167 is 76141127.

It is a weak prime.

It is an emirp because it is prime and its reverse (76141127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72114167 - 2¹⁶ = 72048631 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72114157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36057083 + 36057084.

It is an arithmetic number, because the mean of its divisors is an integer number (36057084).

Almost surely, 2^72114167 is an apocalyptic number.

72114167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72114167 is an equidigital number, since it uses as much as digits as its factorization.

72114167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 72114167 is about 8492.0060645292. The cubic root of 72114167 is about 416.2365345378.

The spelling of 72114167 in words is "seventy-two million, one hundred fourteen thousand, one hundred sixty-seven".