71808384 has 64 divisors (see below), whose sum is σ = 195436080. Its totient is φ = 23347200.

The previous prime is 71808377. The next prime is 71808397. The reversal of 71808384 is 48380817.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13464 + ... + 18024.

Almost surely, 2^71808384 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 71808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97718040).

71808384 is an abundant number, since it is smaller than the sum of its proper divisors (123627696).

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

71808384 is a wasteful number, since it uses less digits than its factorization.

71808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 71808384 is about 8473.9827708109. The cubic root of 71808384 is about 415.6473836401.

The spelling of 71808384 in words is "seventy-one million, eight hundred eight thousand, three hundred eighty-four".