275352 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 71040.

The previous prime is 275339. The next prime is 275357. The reversal of 275352 is 253572.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁴ + 7³ + 3¹¹ + 5⁶ + 5⁷ + 2¹² .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁷⁵³⁵² is an apocalyptic number.

275352 is a gapful number since it is divisible by the number (22) 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 275352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

275352 is an abundant number, since it is smaller than the sum of its proper divisors (588648).

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

275352 is a wasteful number, since it uses less digits than its factorization.

275352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 275352 is about 524.7399355871. The cubic root of 275352 is about 65.0573064636.

The spelling of 275352 in words is "two hundred seventy-five thousand, three hundred fifty-two".