71281200 has 120 divisors (see below), whose sum is σ = 230270976. Its totient is φ = 18848000.

The previous prime is 71281193. The next prime is 71281207. The reversal of 71281200 is 218217.

It is an interprime number because it is at equal distance from previous prime (71281193) and next prime (71281207).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (71281207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 229045 + ... + 229355.

Almost surely, 2^71281200 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 71281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115135488).

71281200 is an abundant number, since it is smaller than the sum of its proper divisors (158989776).

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

71281200 is a wasteful number, since it uses less digits than its factorization.

71281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 71281200 is about 8442.8194342885. The cubic root of 71281200 is about 414.6277205294.

Adding to 71281200 its reverse (218217), we get a palindrome (71499417).

The spelling of 71281200 in words is "seventy-one million, two hundred eighty-one thousand, two hundred".