71433216 has 132 divisors (see below), whose sum is σ = 215868432. Its totient is φ = 22708224.

The previous prime is 71433209. The next prime is 71433221. The reversal of 71433216 is 61233417.

It is a self number, because there is not a number n which added to its sum of digits gives 71433216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211800 + ... + 212136.

Almost surely, 2^71433216 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 71433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107934216).

71433216 is an abundant number, since it is smaller than the sum of its proper divisors (144435216).

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

71433216 is a wasteful number, since it uses less digits than its factorization.

71433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 71433216 is about 8451.8173193698. The cubic root of 71433216 is about 414.9222595950.

It can be divided in two parts, 714 and 33216, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 71433216 in words is "seventy-one million, four hundred thirty-three thousand, two hundred sixteen".