71115200 has 126 divisors (see below), whose sum is σ = 190204344. Its totient is φ = 26158080.

The previous prime is 71115179. The next prime is 71115223. The reversal of 71115200 is 251117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270269 + ... + 270531.

Almost surely, 2^71115200 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 71115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95102172).

71115200 is an abundant number, since it is smaller than the sum of its proper divisors (119089144).

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

71115200 is a wasteful number, since it uses less digits than its factorization.

71115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 71115200 is about 8432.9828649180. The cubic root of 71115200 is about 414.3056080136.

Adding to 71115200 its reverse (251117), we get a palindrome (71366317).

The spelling of 71115200 in words is "seventy-one million, one hundred fifteen thousand, two hundred".