71188416 has 112 divisors (see below), whose sum is σ = 225450400. Its totient is φ = 21897216.

The previous prime is 71188391. The next prime is 71188463. The reversal of 71188416 is 61488117.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20880 + ... + 24048.

It is an arithmetic number, because the mean of its divisors is an integer number (2012950).

Almost surely, 2^71188416 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 71188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112725200).

71188416 is an abundant number, since it is smaller than the sum of its proper divisors (154261984).

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

71188416 is a wasteful number, since it uses less digits than its factorization.

71188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3187 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 71188416 is about 8437.3227981392. The cubic root of 71188416 is about 414.4477407569.

The spelling of 71188416 in words is "seventy-one million, one hundred eighty-eight thousand, four hundred sixteen".