275232 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 88320.

The previous prime is 275227. The next prime is 275251. The reversal of 275232 is 232572.

275232 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 275199 and 275208.

It is a congruent number.

It is an unprimeable number.

275232 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 7 ways as a sum of consecutive naturals, for example, 4482 + ... + 4542.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²⁷⁵²³² 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 275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

275232 is an abundant number, since it is smaller than the sum of its proper divisors (474720).

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

275232 is a wasteful number, since it uses less digits than its factorization.

275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 275232 is about 524.6255807717. The cubic root of 275232 is about 65.0478543064.

The spelling of 275232 in words is "two hundred seventy-five thousand, two hundred thirty-two".