7728001 has 4 divisors (see below), whose sum is σ = 7733572. Its totient is φ = 7722432.

The previous prime is 7727989. The next prime is 7728031. The reversal of 7728001 is 1008277.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1008277 = 79 ⋅12763.

It can be written as a sum of positive squares in 2 ways, for example, as 7049025 + 678976 = 2655^2 + 824^2 .

It is a cyclic number.

It is not a de Polignac number, because 7728001 - 2⁵ = 7727969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728031) 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 3 ways as a sum of consecutive naturals, for example, 1141 + ... + 4093.

It is an arithmetic number, because the mean of its divisors is an integer number (1933393).

Almost surely, 2^7728001 is an apocalyptic number.

It is an amenable number.

7728001 is a deficient number, since it is larger than the sum of its proper divisors (5571).

7728001 is a wasteful number, since it uses less digits than its factorization.

7728001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 7728001 is about 2779.9282364838. The cubic root of 7728001 is about 197.7071564573.

The spelling of 7728001 in words is "seven million, seven hundred twenty-eight thousand, one".