72813173 has 2 divisors, whose sum is σ = 72813174. Its totient is φ = 72813172.

The previous prime is 72813163. The next prime is 72813197. The reversal of 72813173 is 37131827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63091249 + 9721924 = 7943^2 + 3118^2 .

It is a cyclic number.

It is not a de Polignac number, because 72813173 - 2⁴ = 72813157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72813133) 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, 36406586 + 36406587.

It is an arithmetic number, because the mean of its divisors is an integer number (36406587).

Almost surely, 2^72813173 is an apocalyptic number.

It is an amenable number.

72813173 is a deficient number, since it is larger than the sum of its proper divisors (1).

72813173 is an equidigital number, since it uses as much as digits as its factorization.

72813173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 72813173 is about 8533.0635178698. The cubic root of 72813173 is about 417.5770792464.

The spelling of 72813173 in words is "seventy-two million, eight hundred thirteen thousand, one hundred seventy-three".