72537167 has 2 divisors, whose sum is σ = 72537168. Its totient is φ = 72537166.

The previous prime is 72537163. The next prime is 72537191. The reversal of 72537167 is 76173527.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72537167 - 2² = 72537163 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 72537167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72537161) 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, 36268583 + 36268584.

It is an arithmetic number, because the mean of its divisors is an integer number (36268584).

Almost surely, 2^72537167 is an apocalyptic number.

72537167 is a deficient number, since it is larger than the sum of its proper divisors (1).

72537167 is an equidigital number, since it uses as much as digits as its factorization.

72537167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61740, while the sum is 38.

The square root of 72537167 is about 8516.8754247083. The cubic root of 72537167 is about 417.0487878708.

The spelling of 72537167 in words is "seventy-two million, five hundred thirty-seven thousand, one hundred sixty-seven".