71446016 has 40 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 34951168.

The previous prime is 71446013. The next prime is 71446021. The reversal of 71446016 is 61064417.

It is a self number, because there is not a number n which added to its sum of digits gives 71446016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71446013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22580 + ... + 25548.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2^71446016 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 71446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

71446016 is an abundant number, since it is smaller than the sum of its proper divisors (74392864).

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

71446016 is an equidigital number, since it uses as much as digits as its factorization.

71446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 71446016 is about 8452.5745190445. The cubic root of 71446016 is about 414.9470411930.

The spelling of 71446016 in words is "seventy-one million, four hundred forty-six thousand, sixteen".