73189 has 2 divisors, whose sum is σ = 73190. Its totient is φ = 73188.

The previous prime is 73181. The next prime is 73237. The reversal of 73189 is 98137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 289 = 270^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 73189 - 2³ = 73181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36594 + 36595.

It is an arithmetic number, because the mean of its divisors is an integer number (36595).

2⁷³¹⁸⁹ is an apocalyptic number.

It is an amenable number.

73189 is a deficient number, since it is larger than the sum of its proper divisors (1).

73189 is an equidigital number, since it uses as much as digits as its factorization.

73189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 28.

The square root of 73189 is about 270.5346558207. The cubic root of 73189 is about 41.8294291509.

It can be divided in two parts, 731 and 89, that added together give a triangular number (820 = T₄₀).

The spelling of 73189 in words is "seventy-three thousand, one hundred eighty-nine".