71006000 has 80 divisors (see below), whose sum is σ = 184967328. Its totient is φ = 26208000.

The previous prime is 71005993. The next prime is 71006003. The reversal of 71006000 is 60017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71006003) 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, 24635 + ... + 27365.

Almost surely, 2^71006000 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 71006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92483664).

71006000 is an abundant number, since it is smaller than the sum of its proper divisors (113961328).

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

71006000 is a wasteful number, since it uses less digits than its factorization.

71006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 71006000 is about 8426.5058001523. The cubic root of 71006000 is about 414.0934388891.

Adding to 71006000 its reverse (60017), we get a palindrome (71066017).

The spelling of 71006000 in words is "seventy-one million, six thousand".