275872 has 24 divisors (see below), whose sum is σ = 560196. Its totient is φ = 133632.

The previous prime is 275837. The next prime is 275881. The reversal of 275872 is 278572.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 1296 = 524^2 + 36^2 .

It is a super-2 number, since 2×275872² = 152210720768, which contains 22 as substring.

Its product of digits (7840) is a multiple of the sum of its prime factors (280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1068 + ... + 1300.

2²⁷⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

275872 is an abundant number, since it is smaller than the sum of its proper divisors (284324).

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

275872 is a wasteful number, since it uses less digits than its factorization.

275872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 275872 is about 525.2351854170. The cubic root of 275872 is about 65.0982341076.

The spelling of 275872 in words is "two hundred seventy-five thousand, eight hundred seventy-two".