272584 has 16 divisors (see below), whose sum is σ = 550620. Its totient is φ = 125760.

The previous prime is 272581. The next prime is 272603. The reversal of 272584 is 485272.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 100 = 522^2 + 10^2 .

It is a d-powerful number, because it can be written as 2¹⁰ + 7³ + 5⁴ + 2¹³ + 8⁶ + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (272581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1207 + ... + 1414.

2²⁷²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

272584 is an abundant number, since it is smaller than the sum of its proper divisors (278036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272584 is a wasteful number, since it uses less digits than its factorization.

272584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2636 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 272584 is about 522.0957766541. The cubic root of 272584 is about 64.8385737921.

It can be divided in two parts, 2725 and 84, that added together give a square (2809 = 53²).

The spelling of 272584 in words is "two hundred seventy-two thousand, five hundred eighty-four".