73789 has 4 divisors (see below), whose sum is σ = 74556. Its totient is φ = 73024.

The previous prime is 73783. The next prime is 73819. The reversal of 73789 is 98737.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7225 + 66564 = 85^2 + 258^2 .

It is a cyclic number.

It is not a de Polignac number, because 73789 - 2⁵ = 73757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (18639).

2⁷³⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

73789 is a deficient number, since it is larger than the sum of its proper divisors (767).

73789 is a wasteful number, since it uses less digits than its factorization.

73789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its digits is 10584, while the sum is 34.

The square root of 73789 is about 271.6413076099. The cubic root of 73789 is about 41.9434234442.

The spelling of 73789 in words is "seventy-three thousand, seven hundred eighty-nine".