71516872 has 64 divisors (see below), whose sum is σ = 159120000. Its totient is φ = 30115008.

The previous prime is 71516857. The next prime is 71516873. The reversal of 71516872 is 27861517.

It is a super-2 number, since 2×71516872² = 10229325961328768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71516873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183654 + ... + 184042.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^71516872 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 71516872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560000).

71516872 is an abundant number, since it is smaller than the sum of its proper divisors (87603128).

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

71516872 is a wasteful number, since it uses less digits than its factorization.

71516872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 71516872 is about 8456.7648660702. The cubic root of 71516872 is about 415.0841693119.

The spelling of 71516872 in words is "seventy-one million, five hundred sixteen thousand, eight hundred seventy-two".