73287 has 12 divisors (see below), whose sum is σ = 112320. Its totient is φ = 45888.

The previous prime is 73277. The next prime is 73291. The reversal of 73287 is 78237.

It is not a de Polignac number, because 73287 - 2¹² = 69191 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 73287.

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 73287.

It is not an unprimeable number, because it can be changed into a prime (73237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷³²⁸⁷ is an apocalyptic number.

73287 is a deficient number, since it is larger than the sum of its proper divisors (39033).

73287 is a wasteful number, since it uses less digits than its factorization.

73287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 73287 is about 270.7157180512. The cubic root of 73287 is about 41.8480906791.

Subtracting 73287 from its reverse (78237), we obtain a triangular number (4950 = T₉₉).

The spelling of 73287 in words is "seventy-three thousand, two hundred eighty-seven".