71200668 has 96 divisors (see below), whose sum is σ = 208631808. Its totient is φ = 18360000.

The previous prime is 71200667. The next prime is 71200673. The reversal of 71200668 is 86600217.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71200667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231771 + ... + 232077.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 2^71200668 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 71200668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315904).

71200668 is an abundant number, since it is smaller than the sum of its proper divisors (137431140).

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

71200668 is a wasteful number, since it uses less digits than its factorization.

71200668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71200668 is about 8438.0488265949. The cubic root of 71200668 is about 414.4715157974.

The spelling of 71200668 in words is "seventy-one million, two hundred thousand, six hundred sixty-eight".