73812 has 12 divisors (see below), whose sum is σ = 172256. Its totient is φ = 24600.

The previous prime is 73783. The next prime is 73819. The reversal of 73812 is 21837.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×73812² = 10896422688, which contains 22 as substring.

It is a plaindrome in base 9 and base 13.

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 73812.

It is not an unprimeable number, because it can be changed into a prime (73819) by changing a digit.

73812 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 3 ways as a sum of consecutive naturals, for example, 3064 + ... + 3087.

2⁷³⁸¹² is an apocalyptic number.

It is an amenable number.

73812 is an abundant number, since it is smaller than the sum of its proper divisors (98444).

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 (86128).

73812 is a wasteful number, since it uses less digits than its factorization.

73812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6156 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 73812 is about 271.6836395516. The cubic root of 73812 is about 41.9477809073.

The spelling of 73812 in words is "seventy-three thousand, eight hundred twelve".