7601728 has 28 divisors (see below), whose sum is σ = 15457932. Its totient is φ = 3706880.

The previous prime is 7601701. The next prime is 7601731. The reversal of 7601728 is 8271067.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 7011904 = 768^2 + 2648^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7601728.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1176 + ... + 4072.

It is an arithmetic number, because the mean of its divisors is an integer number (552069).

Almost surely, 2^7601728 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 7601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728966).

7601728 is an abundant number, since it is smaller than the sum of its proper divisors (7856204).

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

7601728 is a wasteful number, since it uses less digits than its factorization.

7601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 7601728 is about 2757.1231383455. The cubic root of 7601728 is about 196.6244143007.

The spelling of 7601728 in words is "seven million, six hundred one thousand, seven hundred twenty-eight".