73689 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 36960.

The previous prime is 73681. The next prime is 73693. The reversal of 73689 is 98637.

It is a happy number.

It is not a de Polignac number, because 73689 - 2³ = 73681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2527 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁷³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

73689 is a deficient number, since it is larger than the sum of its proper divisors (53991).

73689 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73689 = (36789)₁₂.

73689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 73689 is about 271.4571789436. The cubic root of 73689 is about 41.9244674186.

The spelling of 73689 in words is "seventy-three thousand, six hundred eighty-nine".