71716200 has 192 divisors, whose sum is σ = 241056000. Its totient is φ = 17571840.

The previous prime is 71716193. The next prime is 71716213. The reversal of 71716200 is 261717.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805756 + ... + 805844.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^71716200 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 71716200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

71716200 is an abundant number, since it is smaller than the sum of its proper divisors (169339800).

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

71716200 is a wasteful number, since it uses less digits than its factorization.

71716200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 71716200 is about 8468.5417871083. The cubic root of 71716200 is about 415.4694450576.

Adding to 71716200 its reverse (261717), we get a palindrome (71977917).

The spelling of 71716200 in words is "seventy-one million, seven hundred sixteen thousand, two hundred".