272609 has 8 divisors (see below), whose sum is σ = 286440. Its totient is φ = 259200.

The previous prime is 272603. The next prime is 272621. The reversal of 272609 is 906272.

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 270400 = 47^2 + 520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272609 - 2⁸ = 272353 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272603) 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 in 7 ways as a sum of consecutive naturals, for example, 2447 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (35805).

2²⁷²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

272609 is a deficient number, since it is larger than the sum of its proper divisors (13831).

272609 is a wasteful number, since it uses less digits than its factorization.

272609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 272609 is about 522.1197180724. The cubic root of 272609 is about 64.8405559514.

The spelling of 272609 in words is "two hundred seventy-two thousand, six hundred nine".