272306 has 8 divisors (see below), whose sum is σ = 432540. Its totient is φ = 128128.

The previous prime is 272299. The next prime is 272317. The reversal of 272306 is 603272.

It can be written as a sum of positive squares in 2 ways, for example, as 259081 + 13225 = 509^2 + 115^2 .

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

272306 is a modest number, since divided by 306 gives 272 as remainder.

It is a Curzon number.

It is an unprimeable number.

272306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3971 + ... + 4038.

2²⁷²³⁰⁶ is an apocalyptic number.

272306 is a deficient number, since it is larger than the sum of its proper divisors (160234).

272306 is a wasteful number, since it uses less digits than its factorization.

272306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 272306 is about 521.8294740622. The cubic root of 272306 is about 64.8165240083.

Adding to 272306 its reverse (603272), we get a palindrome (875578).

The spelling of 272306 in words is "two hundred seventy-two thousand, three hundred six".