71103744000 has 768 divisors, whose sum is σ = 268202188800. Its totient is φ = 18811699200.

The previous prime is 71103743981. The next prime is 71103744079. The reversal of 71103744000 is 44730117.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559871937 + ... + 559872063.

It is an arithmetic number, because the mean of its divisors is an integer number (349221600).

Almost surely, 2^71103744000 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 71103744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134101094400).

71103744000 is an abundant number, since it is smaller than the sum of its proper divisors (197098444800).

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

71103744000 is an frugal number, since it uses more digits than its factorization.

71103744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 71103744000 in words is "seventy-one billion, one hundred three million, seven hundred forty-four thousand".