71121688 has 72 divisors (see below), whose sum is σ = 155682540. Its totient is φ = 30206400.

The previous prime is 71121679. The next prime is 71121691. The reversal of 71121688 is 88612117.

It is a super-3 number, since 3×71121688³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2294233 + ... + 2294263.

Almost surely, 2^71121688 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 71121688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77841270).

71121688 is an abundant number, since it is smaller than the sum of its proper divisors (84560852).

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

71121688 is a wasteful number, since it uses less digits than its factorization.

71121688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its digits is 5376, while the sum is 34.

The square root of 71121688 is about 8433.3675361625. The cubic root of 71121688 is about 414.3182069753.

The spelling of 71121688 in words is "seventy-one million, one hundred twenty-one thousand, six hundred eighty-eight".