272706 has 32 divisors (see below), whose sum is σ = 642048. Its totient is φ = 75600.

The previous prime is 272693. The next prime is 272717. The reversal of 272706 is 607272.

272706 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

272706 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (20064).

2²⁷²⁷⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321024).

272706 is an abundant number, since it is smaller than the sum of its proper divisors (369342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272706 is a wasteful number, since it uses less digits than its factorization.

272706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 272706 is about 522.2126003842. The cubic root of 272706 is about 64.8482455827.

Adding to 272706 its reverse (607272), we get a palindrome (879978).

The spelling of 272706 in words is "two hundred seventy-two thousand, seven hundred six".