272205 has 24 divisors (see below), whose sum is σ = 494208. Its totient is φ = 138336.

The previous prime is 272203. The next prime is 272227. The reversal of 272205 is 502272.

It is a happy number.

It is not a de Polignac number, because 272205 - 2¹ = 272203 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272205.

It is not an unprimeable number, because it can be changed into a prime (272201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (20592).

2²⁷²²⁰⁵ is an apocalyptic number.

It is an amenable number.

272205 is a deficient number, since it is larger than the sum of its proper divisors (222003).

272205 is a wasteful number, since it uses less digits than its factorization.

272205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 272205 is about 521.7326901776. The cubic root of 272205 is about 64.8085093992.

Adding to 272205 its reverse (502272), we get a palindrome (774477).

It can be divided in two parts, 27220 and 5, that added together give a square (27225 = 165²).

The spelling of 272205 in words is "two hundred seventy-two thousand, two hundred five".