72806 has 8 divisors (see below), whose sum is σ = 111240. Its totient is φ = 35728.

The previous prime is 72797. The next prime is 72817. The reversal of 72806 is 60827.

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

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

72806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (13905).

2⁷²⁸⁰⁶ is an apocalyptic number.

72806 is a deficient number, since it is larger than the sum of its proper divisors (38434).

72806 is a wasteful number, since it uses less digits than its factorization.

72806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72806 is about 269.8258697753. The cubic root of 72806 is about 41.7563366623.

It can be divided in two parts, 72 and 806, that added together give a palindrome (878).

The spelling of 72806 in words is "seventy-two thousand, eight hundred six".