71415720761 has 24 divisors (see below), whose sum is σ = 90843298560. Its totient is φ = 55516255200.

The previous prime is 71415720757. The next prime is 71415720773. The reversal of 71415720761 is 16702751417.

It is not a de Polignac number, because 71415720761 - 2² = 71415720757 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71415720161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69560 + ... + 384278.

It is an arithmetic number, because the mean of its divisors is an integer number (3785137440).

Almost surely, 2^71415720761 is an apocalyptic number.

It is an amenable number.

71415720761 is a deficient number, since it is larger than the sum of its proper divisors (19427577799).

71415720761 is a wasteful number, since it uses less digits than its factorization.

71415720761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315165 (or 315158 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 71415720761 in words is "seventy-one billion, four hundred fifteen million, seven hundred twenty thousand, seven hundred sixty-one".