275072 has 32 divisors (see below), whose sum is σ = 628320. Its totient is φ = 117504.

The previous prime is 275059. The next prime is 275083. The reversal of 275072 is 270572.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

275072 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 743 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2²⁷⁵⁰⁷² 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 275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314160).

275072 is an abundant number, since it is smaller than the sum of its proper divisors (353248).

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

275072 is an equidigital number, since it uses as much as digits as its factorization.

275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 275072 is about 524.4730688987. The cubic root of 275072 is about 65.0352471555.

The spelling of 275072 in words is "two hundred seventy-five thousand, seventy-two".