272516 has 12 divisors (see below), whose sum is σ = 480732. Its totient is φ = 135168.

The previous prime is 272507. The next prime is 272533. The reversal of 272516 is 615272.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 184900 = 296^2 + 430^2 .

It is a junction number, because it is equal to n+sod(n) for n = 272491 and 272500.

It is an unprimeable number.

272516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 596 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (40061).

2²⁷²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

272516 is a deficient number, since it is larger than the sum of its proper divisors (208216).

272516 is a wasteful number, since it uses less digits than its factorization.

272516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 272516 is about 522.0306504411. The cubic root of 272516 is about 64.8331817053.

Adding to 272516 its reverse (615272), we get a palindrome (887788).

The spelling of 272516 in words is "two hundred seventy-two thousand, five hundred sixteen".