73089 has 8 divisors (see below), whose sum is σ = 108320. Its totient is φ = 48708.

The previous prime is 73079. The next prime is 73091. The reversal of 73089 is 98037.

It is a happy number.

It is not a de Polignac number, because 73089 - 2⁹ = 72577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2707 = 73089 / (7 + 3 + 0 + 8 + 9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73009) 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 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (13540).

2⁷³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

73089 is a deficient number, since it is larger than the sum of its proper divisors (35231).

73089 is a wasteful number, since it uses less digits than its factorization.

73089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73089 is about 270.3497734417. The cubic root of 73089 is about 41.8103695952.

The spelling of 73089 in words is "seventy-three thousand, eighty-nine".