272613 has 12 divisors (see below), whose sum is σ = 400064. Its totient is φ = 165000.

The previous prime is 272603. The next prime is 272621. The reversal of 272613 is 316272.

It is a happy number.

It is not a de Polignac number, because 272613 - 2⁵ = 272581 is a prime.

It is a Duffinian number.

272613 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 272613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 738.

2²⁷²⁶¹³ is an apocalyptic number.

It is an amenable number.

272613 is a deficient number, since it is larger than the sum of its proper divisors (127451).

272613 is a wasteful number, since it uses less digits than its factorization.

272613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 272613 is about 522.1235485975. The cubic root of 272613 is about 64.8408730857.

Adding to 272613 its reverse (316272), we get a palindrome (588885).

The spelling of 272613 in words is "two hundred seventy-two thousand, six hundred thirteen".