272565 has 20 divisors (see below), whose sum is σ = 489324. Its totient is φ = 145152.

The previous prime is 272563. The next prime is 272567. The reversal of 272565 is 565272.

It is an interprime number because it is at equal distance from previous prime (272563) and next prime (272567).

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 178929 = 306^2 + 423^2 .

It is not a de Polignac number, because 272565 - 2¹ = 272563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is a plaindrome in base 12.

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 272565.

It is not an unprimeable number, because it can be changed into a prime (272563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69 + ... + 741.

2²⁷²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

272565 is a deficient number, since it is larger than the sum of its proper divisors (216759).

272565 is an equidigital number, since it uses as much as digits as its factorization.

272565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 272565 is about 522.0775804418. The cubic root of 272565 is about 64.8370672699.

It can be divided in two parts, 27256 and 5, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 272565 in words is "two hundred seventy-two thousand, five hundred sixty-five".