272617 has 4 divisors (see below), whose sum is σ = 274320. Its totient is φ = 270916.

The previous prime is 272603. The next prime is 272621. The reversal of 272617 is 716272.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 272617 - 2¹⁵ = 239849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272591 and 272600.

It is not an unprimeable number, because it can be changed into a prime (272317) 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, 583 + ... + 940.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2²⁷²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

272617 is a deficient number, since it is larger than the sum of its proper divisors (1703).

272617 is a wasteful number, since it uses less digits than its factorization.

272617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702.

The product of its digits is 1176, while the sum is 25.

The square root of 272617 is about 522.1273790944. The cubic root of 272617 is about 64.8411902168.

Subtracting from 272617 its product of digits (1176), we obtain a square (271441 = 521²).

Adding to 272617 its reverse (716272), we get a palindrome (988889).

The spelling of 272617 in words is "two hundred seventy-two thousand, six hundred seventeen".