72257173 has 2 divisors, whose sum is σ = 72257174. Its totient is φ = 72257172.

The previous prime is 72257153. The next prime is 72257233. The reversal of 72257173 is 37175227.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71876484 + 380689 = 8478^2 + 617^2 .

It is an emirp because it is prime and its reverse (37175227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72257173 - 2¹⁷ = 72126101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72257153) 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, 36128586 + 36128587.

It is an arithmetic number, because the mean of its divisors is an integer number (36128587).

Almost surely, 2^72257173 is an apocalyptic number.

It is an amenable number.

72257173 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257173 is an equidigital number, since it uses as much as digits as its factorization.

72257173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 34.

The square root of 72257173 is about 8500.4219307044. The cubic root of 72257173 is about 416.5114921550.

The spelling of 72257173 in words is "seventy-two million, two hundred fifty-seven thousand, one hundred seventy-three".