71971488224 has 72 divisors (see below), whose sum is σ = 149520145320. Its totient is φ = 34088617472.

The previous prime is 71971488203. The next prime is 71971488257. The reversal of 71971488224 is 42288417917.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401107 + ... + 1451565.

It is an arithmetic number, because the mean of its divisors is an integer number (2076668685).

Almost surely, 2^71971488224 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 71971488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74760072660).

71971488224 is an abundant number, since it is smaller than the sum of its proper divisors (77548657096).

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

71971488224 is a wasteful number, since it uses less digits than its factorization.

71971488224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50580 (or 50543 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 53.

The spelling of 71971488224 in words is "seventy-one billion, nine hundred seventy-one million, four hundred eighty-eight thousand, two hundred twenty-four".