73836 has 36 divisors (see below), whose sum is σ = 214032. Its totient is φ = 21024.

The previous prime is 73823. The next prime is 73847. The reversal of 73836 is 63837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

73836 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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 398.

2⁷³⁸³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016).

73836 is an abundant number, since it is smaller than the sum of its proper divisors (140196).

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

73836 is a wasteful number, since it uses less digits than its factorization.

73836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73836 is about 271.7278049814. The cubic root of 73836 is about 41.9523268603.

Subtracting from 73836 its reverse (63837), we obtain a palindrome (9999).

It can be divided in two parts, 73 and 836, that added together give a palindrome (909).

The spelling of 73836 in words is "seventy-three thousand, eight hundred thirty-six".