73281 has 8 divisors (see below), whose sum is σ = 105280. Its totient is φ = 45072.

The previous prime is 73277. The next prime is 73291. The reversal of 73281 is 18237.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73281 - 2² = 73277 is a prime.

It is a super-2 number, since 2×73281² = 10740209922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73281.

It is not an unprimeable number, because it can be changed into a prime (73291) 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 7 ways as a sum of consecutive naturals, for example, 901 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (13160).

2⁷³²⁸¹ is an apocalyptic number.

It is an amenable number.

73281 is a deficient number, since it is larger than the sum of its proper divisors (31999).

73281 is a wasteful number, since it uses less digits than its factorization.

73281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895.

The product of its digits is 336, while the sum is 21.

The square root of 73281 is about 270.7046360889. The cubic root of 73281 is about 41.8469486148.

The spelling of 73281 in words is "seventy-three thousand, two hundred eighty-one".