71201664 has 96 divisors (see below), whose sum is σ = 215740200. Its totient is φ = 22477824.

The previous prime is 71201623. The next prime is 71201671. The reversal of 71201664 is 46610217.

It is a tau number, because it is divible by the number of its divisors (96).

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, 20262 + ... + 23514.

Almost surely, 2^71201664 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 71201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107870100).

71201664 is an abundant number, since it is smaller than the sum of its proper divisors (144538536).

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

71201664 is a wasteful number, since it uses less digits than its factorization.

71201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71201664 is about 8438.1078447718. The cubic root of 71201664 is about 414.4734484184.

The spelling of 71201664 in words is "seventy-one million, two hundred one thousand, six hundred sixty-four".