72527209 has 2 divisors, whose sum is σ = 72527210. Its totient is φ = 72527208.

The previous prime is 72527201. The next prime is 72527269. The reversal of 72527209 is 90272527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58064400 + 14462809 = 7620^2 + 3803^2 .

It is a cyclic number.

It is not a de Polignac number, because 72527209 - 2³ = 72527201 is a prime.

It is not a weakly prime, because it can be changed into another prime (72527201) 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, 36263604 + 36263605.

It is an arithmetic number, because the mean of its divisors is an integer number (36263605).

Almost surely, 2^72527209 is an apocalyptic number.

It is an amenable number.

72527209 is a deficient number, since it is larger than the sum of its proper divisors (1).

72527209 is an equidigital number, since it uses as much as digits as its factorization.

72527209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72527209 is about 8516.2908005774. The cubic root of 72527209 is about 417.0297026576.

The spelling of 72527209 in words is "seventy-two million, five hundred twenty-seven thousand, two hundred nine".