272085 has 32 divisors (see below), whose sum is σ = 508032. Its totient is φ = 122880.

The previous prime is 272059. The next prime is 272093. The reversal of 272085 is 580272.

It is not a de Polignac number, because 272085 - 2⁵ = 272053 is a prime.

It is a Curzon number.

272085 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2757 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁷²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

272085 is a deficient number, since it is larger than the sum of its proper divisors (235947).

272085 is a wasteful number, since it uses less digits than its factorization.

272085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 272085 is about 521.6176760809. The cubic root of 272085 is about 64.7989845139.

It can be divided in two parts, 27 and 2085, that added together give a palindrome (2112).

The spelling of 272085 in words is "two hundred seventy-two thousand, eighty-five".