71585921 has 8 divisors (see below), whose sum is σ = 78249888. Its totient is φ = 64948000.

The previous prime is 71585909. The next prime is 71585951. The reversal of 71585921 is 12958517.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71585921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71585951) 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, 515 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (9781236).

Almost surely, 2^71585921 is an apocalyptic number.

It is an amenable number.

71585921 is a deficient number, since it is larger than the sum of its proper divisors (6663967).

71585921 is a wasteful number, since it uses less digits than its factorization.

71585921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023.

The product of its digits is 25200, while the sum is 38.

The square root of 71585921 is about 8460.8463524638. The cubic root of 71585921 is about 415.2177132199.

The spelling of 71585921 in words is "seventy-one million, five hundred eighty-five thousand, nine hundred twenty-one".