75289 has 2 divisors, whose sum is σ = 75290. Its totient is φ = 75288.

The previous prime is 75277. The next prime is 75307. The reversal of 75289 is 98257.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 17689 = 240^2 + 133^2 .

It is an emirp because it is prime and its reverse (98257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75289 - 2⁷ = 75161 is a prime.

It is a Chen prime.

75289 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 75289.

It is not a weakly prime, because it can be changed into another prime (75209) 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 as a sum of consecutive naturals, namely, 37644 + 37645.

It is an arithmetic number, because the mean of its divisors is an integer number (37645).

2⁷⁵²⁸⁹ is an apocalyptic number.

It is an amenable number.

75289 is a deficient number, since it is larger than the sum of its proper divisors (1).

75289 is an equidigital number, since it uses as much as digits as its factorization.

75289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 31.

The square root of 75289 is about 274.3884108340. The cubic root of 75289 is about 42.2257309591.

It can be divided in two parts, 752 and 89, that added together give a square (841 = 29²).

The spelling of 75289 in words is "seventy-five thousand, two hundred eighty-nine".