71680896 has 128 divisors (see below), whose sum is σ = 241862400. Its totient is φ = 20473344.

The previous prime is 71680883. The next prime is 71680919. The reversal of 71680896 is 69808617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 22711 + ... + 25673.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^71680896 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 71680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

71680896 is an abundant number, since it is smaller than the sum of its proper divisors (170181504).

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

71680896 is a wasteful number, since it uses less digits than its factorization.

71680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 71680896 is about 8466.4571102676. The cubic root of 71680896 is about 415.4012589722.

The spelling of 71680896 in words is "seventy-one million, six hundred eighty thousand, eight hundred ninety-six".