273288 has 32 divisors (see below), whose sum is σ = 698400. Its totient is φ = 89088.

The previous prime is 273283. The next prime is 273289. The reversal of 273288 is 882372.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁴ + 7³ + 2⁷ + 3⁸ + 8⁴ + 8⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273288.

It is not an unprimeable number, because it can be changed into a prime (273281) by changing a digit.

273288 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (21825).

2²⁷³²⁸⁸ 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 273288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349200).

273288 is an abundant number, since it is smaller than the sum of its proper divisors (425112).

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

273288 is a wasteful number, since it uses less digits than its factorization.

273288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 273288 is about 522.7695476976. The cubic root of 273288 is about 64.8943451206.

It can be divided in two parts, 273 and 288, that added together give a triangular number (561 = T₃₃).

The spelling of 273288 in words is "two hundred seventy-three thousand, two hundred eighty-eight".