272505 has 16 divisors (see below), whose sum is σ = 448704. Its totient is φ = 141120.

The previous prime is 272477. The next prime is 272507. The reversal of 272505 is 505272.

It is not a de Polignac number, because 272505 - 2⁸ = 272249 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272505.

It is not an unprimeable number, because it can be changed into a prime (272507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (28044).

2²⁷²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

272505 is a deficient number, since it is larger than the sum of its proper divisors (176199).

272505 is a wasteful number, since it uses less digits than its factorization.

272505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 272505 is about 522.0201145550. The cubic root of 272505 is about 64.8323093717.

Subtracting from 272505 its sum of digits (21), we obtain a square (272484 = 522²).

Adding to 272505 its reverse (505272), we get a palindrome (777777).

It can be divided in two parts, 272 and 505, that added together give a palindrome (777).

The spelling of 272505 in words is "two hundred seventy-two thousand, five hundred five".