71018000 has 40 divisors (see below), whose sum is σ = 171726360. Its totient is φ = 28406400.

The previous prime is 71017981. The next prime is 71018009. The reversal of 71018000 is 81017.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 57942544 = 3616^2 + 7612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 71018000.

It is not an unprimeable number, because it can be changed into a prime (71018009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15755 + ... + 19754.

It is an arithmetic number, because the mean of its divisors is an integer number (4293159).

Almost surely, 2^71018000 is an apocalyptic number.

It is an amenable number.

71018000 is an abundant number, since it is smaller than the sum of its proper divisors (100708360).

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

71018000 is a wasteful number, since it uses less digits than its factorization.

71018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35532 (or 35516 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 71018000 is about 8427.2178089806. The cubic root of 71018000 is about 414.1167648116.

Adding to 71018000 its reverse (81017), we get a palindrome (71099017).

The spelling of 71018000 in words is "seventy-one million, eighteen thousand".