276352 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 129024.

The previous prime is 276347. The next prime is 276359. The reversal of 276352 is 253672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276359) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2113 + ... + 2239.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁷⁶³⁵² 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 276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

276352 is an abundant number, since it is smaller than the sum of its proper divisors (311168).

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

276352 is a wasteful number, since it uses less digits than its factorization.

276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 276352 is about 525.6919249903. The cubic root of 276352 is about 65.1359678478.

Adding to 276352 its product of digits (2520), we get a palindrome (278872).

The spelling of 276352 in words is "two hundred seventy-six thousand, three hundred fifty-two".