274752 has 70 divisors (see below), whose sum is σ = 829818. Its totient is φ = 89856.

The previous prime is 274751. The next prime is 274777. The reversal of 274752 is 257472.

274752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 20736 = 504^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274751) 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 9 ways as a sum of consecutive naturals, for example, 5158 + ... + 5210.

274752 is a Friedman number, since it can be written as 72^2*(57-4), using all its digits and the basic arithmetic operations.

2²⁷⁴⁷⁵² 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 274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414909).

274752 is an abundant number, since it is smaller than the sum of its proper divisors (555066).

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

274752 is an equidigital number, since it uses as much as digits as its factorization.

274752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 274752 is about 524.1679120282. The cubic root of 274752 is about 65.0100181797.

The spelling of 274752 in words is "two hundred seventy-four thousand, seven hundred fifty-two".