71965216 has 48 divisors (see below), whose sum is σ = 150885504. Its totient is φ = 33670144.

The previous prime is 71965193. The next prime is 71965249. The reversal of 71965216 is 61256917.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 142821 + ... + 143323.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^71965216 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 71965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75442752).

71965216 is an abundant number, since it is smaller than the sum of its proper divisors (78920288).

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

71965216 is a wasteful number, since it uses less digits than its factorization.

71965216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 71965216 is about 8483.2314597681. The cubic root of 71965216 is about 415.9497597118.

The spelling of 71965216 in words is "seventy-one million, nine hundred sixty-five thousand, two hundred sixteen".