73086 has 16 divisors (see below), whose sum is σ = 157584. Its totient is φ = 22464.

The previous prime is 73079. The next prime is 73091. The reversal of 73086 is 68037.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

73086 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (9849).

2⁷³⁰⁸⁶ is an apocalyptic number.

73086 is an abundant number, since it is smaller than the sum of its proper divisors (84498).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78792).

73086 is a wasteful number, since it uses less digits than its factorization.

73086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73086 is about 270.3442250169. The cubic root of 73086 is about 41.8097975401.

The spelling of 73086 in words is "seventy-three thousand, eighty-six".