71563520144 has 80 divisors (see below), whose sum is σ = 149779542960. Its totient is φ = 33002618880.

The previous prime is 71563520143. The next prime is 71563520167. The reversal of 71563520144 is 44102536517.

It can be written as a sum of positive squares in 8 ways, for example, as 15033702544 + 56529817600 = 122612^2 + 237760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71563520098 and 71563520107.

It is not an unprimeable number, because it can be changed into a prime (71563520143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722424 + ... + 2748584.

It is an arithmetic number, because the mean of its divisors is an integer number (1872244287).

Almost surely, 2^71563520144 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 71563520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889771480).

71563520144 is an abundant number, since it is smaller than the sum of its proper divisors (78216022816).

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

71563520144 is a wasteful number, since it uses less digits than its factorization.

71563520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26388 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 71563520144 in words is "seventy-one billion, five hundred sixty-three million, five hundred twenty thousand, one hundred forty-four".