71145216 has 180 divisors, whose sum is σ = 219623712. Its totient is φ = 22892544.

The previous prime is 71145203. The next prime is 71145227. The reversal of 71145216 is 61254117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71145216.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 974556 + ... + 974628.

Almost surely, 2^71145216 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 71145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109811856).

71145216 is an abundant number, since it is smaller than the sum of its proper divisors (148478496).

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

71145216 is an equidigital number, since it uses as much as digits as its factorization.

71145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71145216 is about 8434.7623558699. The cubic root of 71145216 is about 414.3638892621.

The spelling of 71145216 in words is "seventy-one million, one hundred forty-five thousand, two hundred sixteen".