275632 has 40 divisors (see below), whose sum is σ = 642816. Its totient is φ = 111936.

The previous prime is 275623. The next prime is 275641. The reversal of 275632 is 236572.

It is an interprime number because it is at equal distance from previous prime (275623) and next prime (275641).

It is a junction number, because it is equal to n+sod(n) for n = 275597 and 275606.

It is a congruent number.

It is an unprimeable number.

275632 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2523 + ... + 2629.

2²⁷⁵⁶³² 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 275632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

275632 is an abundant number, since it is smaller than the sum of its proper divisors (367184).

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

275632 is a wasteful number, since it uses less digits than its factorization.

275632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 275632 is about 525.0066666243. The cubic root of 275632 is about 65.0793508223.

Subtracting from 275632 its reverse (236572), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 275632 in words is "two hundred seventy-five thousand, six hundred thirty-two".