71982816 has 48 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 23907200.

The previous prime is 71982793. The next prime is 71982931. The reversal of 71982816 is 61828917.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28651 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (3950856).

Almost surely, 2^71982816 is an apocalyptic number.

It is an amenable number.

71982816 is an abundant number, since it is smaller than the sum of its proper divisors (117658272).

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

71982816 is a wasteful number, since it uses less digits than its factorization.

71982816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2727 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 71982816 is about 8484.2687369036. The cubic root of 71982816 is about 415.9836655322.

The spelling of 71982816 in words is "seventy-one million, nine hundred eighty-two thousand, eight hundred sixteen".