272809 has 2 divisors, whose sum is σ = 272810. Its totient is φ = 272808.

The previous prime is 272807. The next prime is 272813. The reversal of 272809 is 908272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205209 + 67600 = 453^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 272809 - 2¹ = 272807 is a prime.

Together with 272807, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (272807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136404 + 136405.

It is an arithmetic number, because the mean of its divisors is an integer number (136405).

2²⁷²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

272809 is a deficient number, since it is larger than the sum of its proper divisors (1).

272809 is an equidigital number, since it uses as much as digits as its factorization.

272809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 272809 is about 522.3112099123. The cubic root of 272809 is about 64.8564088655.

It can be divided in two parts, 272 and 809, that added together give a triangular number (1081 = T₄₆).

The spelling of 272809 in words is "two hundred seventy-two thousand, eight hundred nine".