275220 has 72 divisors (see below), whose sum is σ = 917280. Its totient is φ = 66240.

The previous prime is 275207. The next prime is 275227. The reversal of 275220 is 22572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 275193 and 275202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275227) by changing a digit.

275220 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 23 ways as a sum of consecutive naturals, for example, 1911 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2²⁷⁵²²⁰ is an apocalyptic number.

275220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

275220 is an abundant number, since it is smaller than the sum of its proper divisors (642060).

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

275220 is a wasteful number, since it uses less digits than its factorization.

275220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 275220 is about 524.6141439191. The cubic root of 275220 is about 65.0469089396.

Adding to 275220 its reverse (22572), we get a palindrome (297792).

It can be divided in two parts, 2752 and 20, that added together give a palindrome (2772).

The spelling of 275220 in words is "two hundred seventy-five thousand, two hundred twenty".