71824416 has 48 divisors (see below), whose sum is σ = 195048000. Its totient is φ = 23115008.

The previous prime is 71824397. The next prime is 71824421. The reversal of 71824416 is 61442817.

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

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, 10116 + ... + 15683.

It is an arithmetic number, because the mean of its divisors is an integer number (4063500).

Almost surely, 2^71824416 is an apocalyptic number.

It is an amenable number.

71824416 is an abundant number, since it is smaller than the sum of its proper divisors (123223584).

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

71824416 is a wasteful number, since it uses less digits than its factorization.

71824416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25841 (or 25833 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 71824416 is about 8474.9286722662. The cubic root of 71824416 is about 415.6783139328.

The spelling of 71824416 in words is "seventy-one million, eight hundred twenty-four thousand, four hundred sixteen".