71728842647 has 64 divisors (see below), whose sum is σ = 93830704128. Its totient is φ = 53222400000.

The previous prime is 71728842637. The next prime is 71728842649. The reversal of 71728842647 is 74624882717.

It is not a de Polignac number, because 71728842647 - 2²⁰ = 71727794071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71728842592 and 71728842601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71728842649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23900147 + ... + 23903147.

It is an arithmetic number, because the mean of its divisors is an integer number (1466104752).

Almost surely, 2^71728842647 is an apocalyptic number.

71728842647 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

71728842647 is a deficient number, since it is larger than the sum of its proper divisors (22101861481).

71728842647 is a wasteful number, since it uses less digits than its factorization.

71728842647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240.

The product of its digits is 8429568, while the sum is 56.

The spelling of 71728842647 in words is "seventy-one billion, seven hundred twenty-eight million, eight hundred forty-two thousand, six hundred forty-seven".