71742467905 has 32 divisors (see below), whose sum is σ = 90946540800. Its totient is φ = 54220142592.

The previous prime is 71742467899. The next prime is 71742467917. The reversal of 71742467905 is 50976424717.

It is a happy number.

It is not a de Polignac number, because 71742467905 - 2⁷ = 71742467777 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10323642 + ... + 10330588.

It is an arithmetic number, because the mean of its divisors is an integer number (2842079400).

Almost surely, 2^71742467905 is an apocalyptic number.

It is an amenable number.

71742467905 is a deficient number, since it is larger than the sum of its proper divisors (19204072895).

71742467905 is a wasteful number, since it uses less digits than its factorization.

71742467905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 71742467905 in words is "seventy-one billion, seven hundred forty-two million, four hundred sixty-seven thousand, nine hundred five".