71284416 has 84 divisors (see below), whose sum is σ = 219428568. Its totient is φ = 20364288.

The previous prime is 71284391. The next prime is 71284439. The reversal of 71284416 is 61448217.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×71284416² = 10162935928922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 5620 + ... + 13196.

Almost surely, 2^71284416 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 71284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109714284).

71284416 is an abundant number, since it is smaller than the sum of its proper divisors (148144152).

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

71284416 is a wasteful number, since it uses less digits than its factorization.

71284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7589 counting only the distinct ones).

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

The square root of 71284416 is about 8443.0098898438. The cubic root of 71284416 is about 414.6339560338.

The spelling of 71284416 in words is "seventy-one million, two hundred eighty-four thousand, four hundred sixteen".