71399664 has 120 divisors (see below), whose sum is σ = 238474320. Its totient is φ = 20393856.

The previous prime is 71399641. The next prime is 71399683. The reversal of 71399664 is 46699317.

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

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 23 ways as a sum of consecutive naturals, for example, 19482 + ... + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (1987286).

Almost surely, 2^71399664 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 71399664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119237160).

71399664 is an abundant number, since it is smaller than the sum of its proper divisors (167074656).

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

71399664 is a wasteful number, since it uses less digits than its factorization.

71399664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3385 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 71399664 is about 8449.8321876828. The cubic root of 71399664 is about 414.8572867778.

The spelling of 71399664 in words is "seventy-one million, three hundred ninety-nine thousand, six hundred sixty-four".