272845 has 8 divisors (see below), whose sum is σ = 330264. Its totient is φ = 216384.

The previous prime is 272813. The next prime is 272863. The reversal of 272845 is 548272.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 218089 = 234^2 + 467^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272845 - 2⁵ = 272813 is a prime.

It is a Duffinian number.

272845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847 + ... + 1123.

It is an arithmetic number, because the mean of its divisors is an integer number (41283).

2²⁷²⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

272845 is a deficient number, since it is larger than the sum of its proper divisors (57419).

272845 is a wasteful number, since it uses less digits than its factorization.

272845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 4480, while the sum is 28.

The square root of 272845 is about 522.3456709881. The cubic root of 272845 is about 64.8592615671.

It can be divided in two parts, 2728 and 45, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 272845 in words is "two hundred seventy-two thousand, eight hundred forty-five".