275520 has 112 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 61440.

The previous prime is 275503. The next prime is 275521. The reversal of 275520 is 25572.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×275520² = 151822540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2²⁷⁵⁵²⁰ is an apocalyptic number.

275520 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 275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

275520 is an abundant number, since it is smaller than the sum of its proper divisors (748608).

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

275520 is a wasteful number, since it uses less digits than its factorization.

275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 275520 is about 524.8999904744. The cubic root of 275520 is about 65.0705348711.

It can be divided in two parts, 2755 and 20, that added together give a triangular number (2775 = T₇₄).

The spelling of 275520 in words is "two hundred seventy-five thousand, five hundred twenty".