71071702672000 has 128 divisors (see below), whose sum is σ = 182795195091600. Its totient is φ = 27448381542400.

The previous prime is 71071702671923. The next prime is 71071702672063. The reversal of 71071702672000 is 27620717017.

It can be written as a sum of positive squares in 8 ways, for example, as 5337097966656 + 65734604705344 = 2310216^2 + 8107688^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76121887 + ... + 77049886.

Almost surely, 2^{71071702672000} is an apocalyptic number.

It is an amenable number.

71071702672000 is an abundant number, since it is smaller than the sum of its proper divisors (111723492419600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71071702672000 is a wasteful number, since it uses less digits than its factorization.

71071702672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153171831 (or 153171809 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 71071702672000 in words is "seventy-one trillion, seventy-one billion, seven hundred two million, six hundred seventy-two thousand".