7381128 has 64 divisors (see below), whose sum is σ = 19872000. Its totient is φ = 2276352.

The previous prime is 7381123. The next prime is 7381141. The reversal of 7381128 is 8211837.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7381095 and 7381104.

It is not an unprimeable number, because it can be changed into a prime (7381123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32118 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 2^7381128 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 7381128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936000).

7381128 is an abundant number, since it is smaller than the sum of its proper divisors (12490872).

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

7381128 is a wasteful number, since it uses less digits than its factorization.

7381128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 7381128 is about 2716.8231447777. The cubic root of 7381128 is about 194.7037183701.

The spelling of 7381128 in words is "seven million, three hundred eighty-one thousand, one hundred twenty-eight".