72225173 has 2 divisors, whose sum is σ = 72225174. Its totient is φ = 72225172.

The previous prime is 72225161. The next prime is 72225187. The reversal of 72225173 is 37152227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49252324 + 22972849 = 7018^2 + 4793^2 .

It is a cyclic number.

It is not a de Polignac number, because 72225173 - 2⁴ = 72225157 is a prime.

It is a super-2 number, since 2×72225173² = 10432951229759858, which contains 22 as substring.

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 (72225113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36112586 + 36112587.

It is an arithmetic number, because the mean of its divisors is an integer number (36112587).

Almost surely, 2^72225173 is an apocalyptic number.

It is an amenable number.

72225173 is a deficient number, since it is larger than the sum of its proper divisors (1).

72225173 is an equidigital number, since it uses as much as digits as its factorization.

72225173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 29.

The square root of 72225173 is about 8498.5394627548. The cubic root of 72225173 is about 416.4499972878.

The spelling of 72225173 in words is "seventy-two million, two hundred twenty-five thousand, one hundred seventy-three".