72255409 has 2 divisors, whose sum is σ = 72255410. Its totient is φ = 72255408.

The previous prime is 72255383. The next prime is 72255431. The reversal of 72255409 is 90455227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41563809 + 30691600 = 6447^2 + 5540^2 .

It is a cyclic number.

It is not a de Polignac number, because 72255409 - 2¹⁵ = 72222641 is a prime.

It is not a weakly prime, because it can be changed into another prime (72255439) 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, 36127704 + 36127705.

It is an arithmetic number, because the mean of its divisors is an integer number (36127705).

Almost surely, 2^72255409 is an apocalyptic number.

It is an amenable number.

72255409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72255409 is an equidigital number, since it uses as much as digits as its factorization.

72255409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 72255409 is about 8500.3181705157. The cubic root of 72255409 is about 416.5081027234.

The spelling of 72255409 in words is "seventy-two million, two hundred fifty-five thousand, four hundred nine".