71516200 has 96 divisors (see below), whose sum is σ = 198380160. Its totient is φ = 23443200.

The previous prime is 71516197. The next prime is 71516219. The reversal of 71516200 is 261517.

It is a super-2 number, since 2×71516200² = 10229133724880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31090 + ... + 33310.

It is an arithmetic number, because the mean of its divisors is an integer number (2066460).

Almost surely, 2^71516200 is an apocalyptic number.

71516200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99190080).

71516200 is an abundant number, since it is smaller than the sum of its proper divisors (126863960).

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

71516200 is a wasteful number, since it uses less digits than its factorization.

71516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 71516200 is about 8456.7251344714. The cubic root of 71516200 is about 415.0828692111.

Adding to 71516200 its reverse (261517), we get a palindrome (71777717).

The spelling of 71516200 in words is "seventy-one million, five hundred sixteen thousand, two hundred".