7065000 has 120 divisors (see below), whose sum is σ = 24062610. Its totient is φ = 1872000.

The previous prime is 7064977. The next prime is 7065007. The reversal of 7065000 is 5607.

It can be written as a sum of positive squares in 5 ways, for example, as 36 + 7064964 = 6^2 + 2658^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7065007) 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 29 ways as a sum of consecutive naturals, for example, 44922 + ... + 45078.

Almost surely, 2^7065000 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 7065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031305).

7065000 is an abundant number, since it is smaller than the sum of its proper divisors (16997610).

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

7065000 is a wasteful number, since it uses less digits than its factorization.

7065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 7065000 is about 2658.0067720004. The cubic root of 7065000 is about 191.8833927370.

The spelling of 7065000 in words is "seven million, sixty-five thousand".