71290000 has 50 divisors (see below), whose sum is σ = 172624430. Its totient is φ = 28512000.

The previous prime is 71289997. The next prime is 71290007. The reversal of 71290000 is 9217.

It can be written as a sum of positive squares in 5 ways, for example, as 23348224 + 47941776 = 4832^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 71290000.

It is not an unprimeable number, because it can be changed into a prime (71290007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6436 + ... + 13564.

Almost surely, 2^71290000 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 71290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86312215).

71290000 is an abundant number, since it is smaller than the sum of its proper divisors (101334430).

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

71290000 is an equidigital number, since it uses as much as digits as its factorization.

71290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 71290000 is about 8443.3405711247. The cubic root of 71290000 is about 414.6447824092.

Adding to 71290000 its reverse (9217), we get a palindrome (71299217).

The spelling of 71290000 in words is "seventy-one million, two hundred ninety thousand".