71920585 has 32 divisors (see below), whose sum is σ = 96764544. Its totient is φ = 51304000.

The previous prime is 71920571. The next prime is 71920603. The reversal of 71920585 is 58502917.

It is not a de Polignac number, because 71920585 - 2¹⁵ = 71887817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672102 + ... + 672208.

It is an arithmetic number, because the mean of its divisors is an integer number (3023892).

Almost surely, 2^71920585 is an apocalyptic number.

It is an amenable number.

71920585 is a deficient number, since it is larger than the sum of its proper divisors (24843959).

71920585 is a wasteful number, since it uses less digits than its factorization.

71920585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 71920585 is about 8480.6005093979. The cubic root of 71920585 is about 415.8637547696.

The spelling of 71920585 in words is "seventy-one million, nine hundred twenty thousand, five hundred eighty-five".