73806 has 8 divisors (see below), whose sum is σ = 147624. Its totient is φ = 24600.

The previous prime is 73783. The next prime is 73819. The reversal of 73806 is 60837.

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

73806 is an admirable number.

It is a Curzon number.

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 73806.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6145 + ... + 6156.

It is an arithmetic number, because the mean of its divisors is an integer number (18453).

2⁷³⁸⁰⁶ is an apocalyptic number.

73806 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (73812).

73806 is a wasteful number, since it uses less digits than its factorization.

73806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306.

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

The square root of 73806 is about 271.6725970723. The cubic root of 73806 is about 41.9466442651.

The spelling of 73806 in words is "seventy-three thousand, eight hundred six".