272009 has 2 divisors, whose sum is σ = 272010. Its totient is φ = 272008.

The previous prime is 272003. The next prime is 272011. The reversal of 272009 is 900272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 73984 = 445^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 272009 - 2⁸ = 271753 is a prime.

Together with 272011, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (272003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136004 + 136005.

It is an arithmetic number, because the mean of its divisors is an integer number (136005).

2²⁷²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

272009 is a deficient number, since it is larger than the sum of its proper divisors (1).

272009 is an equidigital number, since it uses as much as digits as its factorization.

272009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 272009 is about 521.5448207010. The cubic root of 272009 is about 64.7929506379.

The spelling of 272009 in words is "two hundred seventy-two thousand, nine".