71648544 has 96 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 20563200.

The previous prime is 71648513. The next prime is 71648569. The reversal of 71648544 is 44584617.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18279 + ... + 21849.

It is an arithmetic number, because the mean of its divisors is an integer number (2250360).

Almost surely, 2^71648544 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 71648544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

71648544 is an abundant number, since it is smaller than the sum of its proper divisors (144386016).

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

71648544 is a wasteful number, since it uses less digits than its factorization.

71648544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3606 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 71648544 is about 8464.5462961697. The cubic root of 71648544 is about 415.3387547132.

The spelling of 71648544 in words is "seventy-one million, six hundred forty-eight thousand, five hundred forty-four".