7162325120 has 128 divisors (see below), whose sum is σ = 18807984000. Its totient is φ = 2596036608.

The previous prime is 7162325087. The next prime is 7162325129. The reversal of 7162325120 is 215232617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7162325120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7162325129) 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 15 ways as a sum of consecutive naturals, for example, 266876 + ... + 292484.

It is an arithmetic number, because the mean of its divisors is an integer number (146937375).

Almost surely, 2^7162325120 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 7162325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403992000).

7162325120 is an abundant number, since it is smaller than the sum of its proper divisors (11645658880).

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

7162325120 is a wasteful number, since it uses less digits than its factorization.

7162325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25670 (or 25658 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 7162325120 is about 84630.5212083678. The cubic root of 7162325120 is about 1927.6048500628.

Adding to 7162325120 its reverse (215232617), we get a palindrome (7377557737).

The spelling of 7162325120 in words is "seven billion, one hundred sixty-two million, three hundred twenty-five thousand, one hundred twenty".