71939291424 has 1152 divisors, whose sum is σ = 282506434560. Its totient is φ = 15427584000.

The previous prime is 71939291299. The next prime is 71939291449. The reversal of 71939291424 is 42419293917.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1754616844 + ... + 1754616884.

It is an arithmetic number, because the mean of its divisors is an integer number (245231280).

Almost surely, 2^71939291424 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 71939291424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141253217280).

71939291424 is an abundant number, since it is smaller than the sum of its proper divisors (210567143136).

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

71939291424 is a wasteful number, since it uses less digits than its factorization.

71939291424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

It can be divided in two parts, 71939 and 291424, that added together give a palindrome (363363).

The spelling of 71939291424 in words is "seventy-one billion, nine hundred thirty-nine million, two hundred ninety-one thousand, four hundred twenty-four".