7065120 has 96 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 1832960.

The previous prime is 7065101. The next prime is 7065127. The reversal of 7065120 is 215607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7065120² = 99831841228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7065127) 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 15 ways as a sum of consecutive naturals, for example, 19501 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^7065120 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 7065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

7065120 is an abundant number, since it is smaller than the sum of its proper divisors (15796320).

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

7065120 is a wasteful number, since it uses less digits than its factorization.

7065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 7065120 is about 2658.0293452105. The cubic root of 7065120 is about 191.8844791195.

The spelling of 7065120 in words is "seven million, sixty-five thousand, one hundred twenty".