71329 has 2 divisors, whose sum is σ = 71330. Its totient is φ = 71328.

The previous prime is 71327. The next prime is 71333. The reversal of 71329 is 92317.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 31329 = 200^2 + 177^2 .

It is an emirp because it is prime and its reverse (92317) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71329 - 2¹ = 71327 is a prime.

Together with 71327, it forms a pair of twin primes.

71329 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (71327) 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, 35664 + 35665.

It is an arithmetic number, because the mean of its divisors is an integer number (35665).

2⁷¹³²⁹ is an apocalyptic number.

It is an amenable number.

71329 is a deficient number, since it is larger than the sum of its proper divisors (1).

71329 is an equidigital number, since it uses as much as digits as its factorization.

71329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 71329 is about 267.0748958626. The cubic root of 71329 is about 41.4720380663.

It can be divided in two parts, 71 and 329, that added together give a square (400 = 20²).

The spelling of 71329 in words is "seventy-one thousand, three hundred twenty-nine".