73989 has 6 divisors (see below), whose sum is σ = 106886. Its totient is φ = 49320.

The previous prime is 73973. The next prime is 73999. The reversal of 73989 is 98937.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 1089 = 270^2 + 33^2 .

It is not a de Polignac number, because 73989 - 2⁴ = 73973 is a prime.

It is a Duffinian number.

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 (73939) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4102 + ... + 4119.

2⁷³⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

73989 is a deficient number, since it is larger than the sum of its proper divisors (32897).

73989 is a wasteful number, since it uses less digits than its factorization.

73989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8224 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 73989 is about 272.0091910212. The cubic root of 73989 is about 41.9812841782.

It can be divided in two parts, 739 and 89, that added together give a palindrome (828).

The spelling of 73989 in words is "seventy-three thousand, nine hundred eighty-nine".