71031272002704 has 480 divisors, whose sum is σ = 228519133839360. Its totient is φ = 21222238173696.

The previous prime is 71031272002693. The next prime is 71031272002709. The reversal of 71031272002704 is 40720027213017.

71031272002704 is a `hidden beast` number, since 7 + 1 + 0 + 312 + 72 + 0 + 0 + 270 + 4 = 666.

It is a super-2 number, since 2×71031272002704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71031272002709) 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 95 ways as a sum of consecutive naturals, for example, 301579417 + ... + 301814855.

It is an arithmetic number, because the mean of its divisors is an integer number (476081528832).

Almost surely, 2^{71031272002704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71031272002704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114259566919680).

71031272002704 is an abundant number, since it is smaller than the sum of its proper divisors (157487861836656).

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

71031272002704 is a wasteful number, since it uses less digits than its factorization.

71031272002704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235649 (or 235631 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 71031272002704 in words is "seventy-one trillion, thirty-one billion, two hundred seventy-two million, two thousand, seven hundred four".