272564 has 6 divisors (see below), whose sum is σ = 476994. Its totient is φ = 136280.

The previous prime is 272563. The next prime is 272567. The reversal of 272564 is 465272.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 128164 = 380^2 + 358^2 .

It is a super-2 number, since 2×272564² = 148582268192, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 7² + 5³ + 2¹³ + 6 + 4⁹ .

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 272564.

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

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 as a sum of consecutive naturals, namely, 34067 + ... + 34074.

It is an arithmetic number, because the mean of its divisors is an integer number (79499).

2²⁷²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

272564 is a deficient number, since it is larger than the sum of its proper divisors (204430).

272564 is a wasteful number, since it uses less digits than its factorization.

272564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68145 (or 68143 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 272564 is about 522.0766227289. The cubic root of 272564 is about 64.8369879773.

The spelling of 272564 in words is "two hundred seventy-two thousand, five hundred sixty-four".