72084167 has 2 divisors, whose sum is σ = 72084168. Its totient is φ = 72084166.

The previous prime is 72084163. The next prime is 72084179. The reversal of 72084167 is 76148027.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72084167 - 2² = 72084163 is a prime.

It is a super-2 number, since 2×72084167² = 10392254264167778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72084163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042083 + 36042084.

It is an arithmetic number, because the mean of its divisors is an integer number (36042084).

Almost surely, 2^72084167 is an apocalyptic number.

72084167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72084167 is an equidigital number, since it uses as much as digits as its factorization.

72084167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 72084167 is about 8490.2395137004. The cubic root of 72084167 is about 416.1788074248.

The spelling of 72084167 in words is "seventy-two million, eighty-four thousand, one hundred sixty-seven".