272965 has 16 divisors (see below), whose sum is σ = 408960. Its totient is φ = 169920.

The previous prime is 272959. The next prime is 272971. The reversal of 272965 is 569272.

It is an interprime number because it is at equal distance from previous prime (272959) and next prime (272971).

It is not a de Polignac number, because 272965 - 2⁵ = 272933 is a prime.

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

272965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

2²⁷²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

272965 is a deficient number, since it is larger than the sum of its proper divisors (135995).

272965 is a wasteful number, since it uses less digits than its factorization.

272965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its digits is 7560, while the sum is 31.

The square root of 272965 is about 522.4605248246. The cubic root of 272965 is about 64.8687687606.

It can be divided in two parts, 27 and 2965, that added together give a palindrome (2992).

The spelling of 272965 in words is "two hundred seventy-two thousand, nine hundred sixty-five".