273312 has 72 divisors (see below), whose sum is σ = 848484. Its totient is φ = 82944.

The previous prime is 273311. The next prime is 273313. The reversal of 273312 is 213372.

It is an interprime number because it is at equal distance from previous prime (273311) and next prime (273313).

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 7056 = 516^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (273311) 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 11 ways as a sum of consecutive naturals, for example, 3708 + ... + 3780.

2²⁷³³¹² 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 273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424242).

273312 is an abundant number, since it is smaller than the sum of its proper divisors (575172).

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

273312 is a wasteful number, since it uses less digits than its factorization.

273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 273312 is about 522.7925018590. The cubic root of 273312 is about 64.8962447267.

Adding to 273312 its reverse (213372), we get a palindrome (486684).

It can be divided in two parts, 273 and 312, that added together give a palindrome (585).

The spelling of 273312 in words is "two hundred seventy-three thousand, three hundred twelve", and thus it is an iban number.