272513 has 4 divisors (see below), whose sum is σ = 281940. Its totient is φ = 263088.

The previous prime is 272507. The next prime is 272533. The reversal of 272513 is 315272.

272513 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 49729 + 222784 = 223^2 + 472^2 .

It is not a de Polignac number, because 272513 - 2⁶ = 272449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4670 + ... + 4727.

It is an arithmetic number, because the mean of its divisors is an integer number (70485).

2²⁷²⁵¹³ is an apocalyptic number.

It is an amenable number.

272513 is a deficient number, since it is larger than the sum of its proper divisors (9427).

272513 is an equidigital number, since it uses as much as digits as its factorization.

272513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426.

The product of its digits is 420, while the sum is 20.

The square root of 272513 is about 522.0277770387. The cubic root of 272513 is about 64.8329437985.

Adding to 272513 its reverse (315272), we get a palindrome (587785).

The spelling of 272513 in words is "two hundred seventy-two thousand, five hundred thirteen".