7728201 has 18 divisors (see below), whose sum is σ = 12090078. Its totient is φ = 4754880.

The previous prime is 7728199. The next prime is 7728211. The reversal of 7728201 is 1028277.

It can be written as a sum of positive squares in 3 ways, for example, as 308025 + 7420176 = 555^2 + 2724^2 .

It is not a de Polignac number, because 7728201 - 2¹ = 7728199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7728211) 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 17 ways as a sum of consecutive naturals, for example, 1020 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (671671).

Almost surely, 2^7728201 is an apocalyptic number.

It is an amenable number.

7728201 is a deficient number, since it is larger than the sum of its proper divisors (4361877).

7728201 is a wasteful number, since it uses less digits than its factorization.

7728201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7728201 is about 2779.9642084027. The cubic root of 7728201 is about 197.7088619906.

The spelling of 7728201 in words is "seven million, seven hundred twenty-eight thousand, two hundred one".