71288316 has 96 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 20655360.

The previous prime is 71288311. The next prime is 71288317. The reversal of 71288316 is 61388217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71288311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26020 + ... + 28628.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 2^71288316 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 71288316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

71288316 is an abundant number, since it is smaller than the sum of its proper divisors (139182084).

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

71288316 is a wasteful number, since it uses less digits than its factorization.

71288316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2648 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71288316 is about 8443.2408469734. The cubic root of 71288316 is about 414.6415174945.

Subtracting from 71288316 its reverse (61388217), we obtain a palindrome (9900099).

The spelling of 71288316 in words is "seventy-one million, two hundred eighty-eight thousand, three hundred sixteen".