272826 has 24 divisors (see below), whose sum is σ = 617760. Its totient is φ = 86856.

The previous prime is 272813. The next prime is 272863. The reversal of 272826 is 628272.

272826 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 272826.

It is an unprimeable number.

272826 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 11 ways as a sum of consecutive naturals, for example, 85 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2²⁷²⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

272826 is an abundant number, since it is smaller than the sum of its proper divisors (344934).

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

272826 is a wasteful number, since it uses less digits than its factorization.

272826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 272826 is about 522.3274834814. The cubic root of 272826 is about 64.8577560058.

The spelling of 272826 in words is "two hundred seventy-two thousand, eight hundred twenty-six".