272506 has 16 divisors (see below), whose sum is σ = 451584. Its totient is φ = 122544.

The previous prime is 272477. The next prime is 272507. The reversal of 272506 is 605272.

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 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 1333.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²⁷²⁵⁰⁶ is an apocalyptic number.

272506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

272506 is a deficient number, since it is larger than the sum of its proper divisors (179078).

272506 is a wasteful number, since it uses less digits than its factorization.

272506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 272506 is about 522.0210723716. The cubic root of 272506 is about 64.8323886758.

Subtracting from 272506 its sum of digits (22), we obtain a square (272484 = 522²).

Adding to 272506 its reverse (605272), we get a palindrome (877778).

The spelling of 272506 in words is "two hundred seventy-two thousand, five hundred six".