72816167 has 2 divisors, whose sum is σ = 72816168. Its totient is φ = 72816166.

The previous prime is 72816131. The next prime is 72816173. The reversal of 72816167 is 76161827.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72816167 - 2¹⁶ = 72750631 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72816167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72816467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36408083 + 36408084.

It is an arithmetic number, because the mean of its divisors is an integer number (36408084).

Almost surely, 2^72816167 is an apocalyptic number.

72816167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72816167 is an equidigital number, since it uses as much as digits as its factorization.

72816167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 38.

The square root of 72816167 is about 8533.2389513010. The cubic root of 72816167 is about 417.5828026093.

The spelling of 72816167 in words is "seventy-two million, eight hundred sixteen thousand, one hundred sixty-seven".