71289000 has 144 divisors (see below), whose sum is σ = 243694620. Its totient is φ = 18796800.

The previous prime is 71288963. The next prime is 71289011. The reversal of 71289000 is 98217.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1633284 + 69655716 = 1278^2 + 8346^2 .

It is a super-3 number, since 3×71289000³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 800956 + ... + 801044.

Almost surely, 2^71289000 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 71289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121847310).

71289000 is an abundant number, since it is smaller than the sum of its proper divisors (172405620).

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

71289000 is a wasteful number, since it uses less digits than its factorization.

71289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71289000 is about 8443.2813526496. The cubic root of 71289000 is about 414.6428436300.

The spelling of 71289000 in words is "seventy-one million, two hundred eighty-nine thousand".