71183664 has 80 divisors (see below), whose sum is σ = 208245600. Its totient is φ = 23272704.

The previous prime is 71183663. The next prime is 71183683. The reversal of 71183664 is 46638117.

It is a super-2 number, since 2×71183664² = 10134228040929792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71183663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21342 + ... + 24450.

It is an arithmetic number, because the mean of its divisors is an integer number (2603070).

Almost surely, 2^71183664 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 71183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104122800).

71183664 is an abundant number, since it is smaller than the sum of its proper divisors (137061936).

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

71183664 is a wasteful number, since it uses less digits than its factorization.

71183664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3167 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 71183664 is about 8437.0411875254. The cubic root of 71183664 is about 414.4385187532.

The spelling of 71183664 in words is "seventy-one million, one hundred eighty-three thousand, six hundred sixty-four".