71065000 has 80 divisors (see below), whose sum is σ = 169961220. Its totient is φ = 27840000.

The previous prime is 71064949. The next prime is 71065019. The reversal of 71065000 is 56017.

It can be written as a sum of positive squares in 10 ways, for example, as 32649796 + 38415204 = 5714^2 + 6198^2 .

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 19 ways as a sum of consecutive naturals, for example, 304884 + ... + 305116.

Almost surely, 2^71065000 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 71065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84980610).

71065000 is an abundant number, since it is smaller than the sum of its proper divisors (98896220).

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

71065000 is a wasteful number, since it uses less digits than its factorization.

71065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 71065000 is about 8430.0059311960. The cubic root of 71065000 is about 414.2080993834.

The spelling of 71065000 in words is "seventy-one million, sixty-five thousand".