73866 has 16 divisors (see below), whose sum is σ = 159264. Its totient is φ = 22704.

The previous prime is 73859. The next prime is 73867. The reversal of 73866 is 66837.

It is not an unprimeable number, because it can be changed into a prime (73867) by changing a digit.

73866 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (9954).

2⁷³⁸⁶⁶ is an apocalyptic number.

73866 is an abundant number, since it is smaller than the sum of its proper divisors (85398).

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 (79632).

73866 is a wasteful number, since it uses less digits than its factorization.

73866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965.

The product of its digits is 6048, while the sum is 30.

The square root of 73866 is about 271.7830016760. The cubic root of 73866 is about 41.9580079164.

It can be divided in two parts, 73 and 866, that added together give a palindrome (939).

The spelling of 73866 in words is "seventy-three thousand, eight hundred sixty-six".