72638173 has 2 divisors, whose sum is σ = 72638174. Its totient is φ = 72638172.

The previous prime is 72638149. The next prime is 72638201. The reversal of 72638173 is 37183627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72624484 + 13689 = 8522^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 72638173 - 2⁹ = 72637661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72632173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36319086 + 36319087.

It is an arithmetic number, because the mean of its divisors is an integer number (36319087).

Almost surely, 2^72638173 is an apocalyptic number.

It is an amenable number.

72638173 is a deficient number, since it is larger than the sum of its proper divisors (1).

72638173 is an equidigital number, since it uses as much as digits as its factorization.

72638173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The square root of 72638173 is about 8522.8031186928. The cubic root of 72638173 is about 417.2422743934.

The spelling of 72638173 in words is "seventy-two million, six hundred thirty-eight thousand, one hundred seventy-three".