71290200 has 96 divisors (see below), whose sum is σ = 222932160. Its totient is φ = 18844800.

The previous prime is 71290189. The next prime is 71290213. The reversal of 71290200 is 209217.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78147 + ... + 79053.

It is an arithmetic number, because the mean of its divisors is an integer number (2322210).

Almost surely, 2^71290200 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 71290200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111466080).

71290200 is an abundant number, since it is smaller than the sum of its proper divisors (151641960).

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

71290200 is a wasteful number, since it uses less digits than its factorization.

71290200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71290200 is about 8443.3524147699. The cubic root of 71290200 is about 414.6451701629.

Adding to 71290200 its reverse (209217), we get a palindrome (71499417).

The spelling of 71290200 in words is "seventy-one million, two hundred ninety thousand, two hundred".