71985 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 38384.

The previous prime is 71983. The next prime is 71987. The reversal of 71985 is 58917.

71985 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (71983) and next prime (71987).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71985 - 2¹ = 71983 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71985.

It is not an unprimeable number, because it can be changed into a prime (71983) 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, 2385 + ... + 2414.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2⁷¹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

71985 is a deficient number, since it is larger than the sum of its proper divisors (43215).

71985 is a wasteful number, since it uses less digits than its factorization.

71985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807.

The product of its digits is 2520, while the sum is 30.

The square root of 71985 is about 268.3002049943. The cubic root of 71985 is about 41.5987872551.

The spelling of 71985 in words is "seventy-one thousand, nine hundred eighty-five".