275652 has 72 divisors (see below), whose sum is σ = 815360. Its totient is φ = 77760.

The previous prime is 275651. The next prime is 275657. The reversal of 275652 is 256572.

275652 is a `hidden beast` number, since 2 + 7 + 5 + 652 = 666.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (275651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8877 + ... + 8907.

2²⁷⁵⁶⁵² 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 275652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407680).

275652 is an abundant number, since it is smaller than the sum of its proper divisors (539708).

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

275652 is a wasteful number, since it uses less digits than its factorization.

275652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 275652 is about 525.0257136560. The cubic root of 275652 is about 65.0809248480.

Subtracting from 275652 its sum of digits (27), we obtain a square (275625 = 525²).

The spelling of 275652 in words is "two hundred seventy-five thousand, six hundred fifty-two".