71544742880 has 96 divisors (see below), whose sum is σ = 182408889600. Its totient is φ = 26361004032.

The previous prime is 71544742823. The next prime is 71544742939. The reversal of 71544742880 is 8824744517.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960416 + ... + 1032224.

It is an arithmetic number, because the mean of its divisors is an integer number (1900092600).

Almost surely, 2^71544742880 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 71544742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91204444800).

71544742880 is an abundant number, since it is smaller than the sum of its proper divisors (110864146720).

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

71544742880 is a wasteful number, since it uses less digits than its factorization.

71544742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72316 (or 72308 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 50.

The spelling of 71544742880 in words is "seventy-one billion, five hundred forty-four million, seven hundred forty-two thousand, eight hundred eighty".