71116000 has 96 divisors (see below), whose sum is σ = 182564928. Its totient is φ = 27174400.

The previous prime is 71115997. The next prime is 71116021. The reversal of 71116000 is 61117.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91614 + ... + 92386.

It is an arithmetic number, because the mean of its divisors is an integer number (1901718).

Almost surely, 2^71116000 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 71116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91282464).

71116000 is an abundant number, since it is smaller than the sum of its proper divisors (111448928).

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

71116000 is a wasteful number, since it uses less digits than its factorization.

71116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 71116000 is about 8433.0302975858. The cubic root of 71116000 is about 414.3071615645.

Adding to 71116000 its reverse (61117), we get a palindrome (71177117).

The spelling of 71116000 in words is "seventy-one million, one hundred sixteen thousand".