71580000 has 120 divisors (see below), whose sum is σ = 234993528. Its totient is φ = 19072000.

The previous prime is 71579971. The next prime is 71580001. The reversal of 71580000 is 8517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71580001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59404 + ... + 60596.

Almost surely, 2^71580000 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 71580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117496764).

71580000 is an abundant number, since it is smaller than the sum of its proper divisors (163413528).

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

71580000 is a wasteful number, since it uses less digits than its factorization.

71580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71580000 is about 8460.4964393350. The cubic root of 71580000 is about 415.2062651035.

Adding to 71580000 its reverse (8517), we get a palindrome (71588517).

The spelling of 71580000 in words is "seventy-one million, five hundred eighty thousand".