71163200 has 84 divisors (see below), whose sum is σ = 177637440. Its totient is φ = 28055040.

The previous prime is 71163199. The next prime is 71163221. The reversal of 71163200 is 236117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126119 + ... + 126681.

Almost surely, 2^71163200 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 71163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88818720).

71163200 is an abundant number, since it is smaller than the sum of its proper divisors (106474240).

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

71163200 is a wasteful number, since it uses less digits than its factorization.

71163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 71163200 is about 8435.8283529242. The cubic root of 71163200 is about 414.3988004517.

Adding to 71163200 its reverse (236117), we get a palindrome (71399317).

The spelling of 71163200 in words is "seventy-one million, one hundred sixty-three thousand, two hundred".