728126001 has 12 divisors (see below), whose sum is σ = 1052229828. Its totient is φ = 485190144.

The previous prime is 728125991. The next prime is 728126057. The reversal of 728126001 is 100621827.

It can be written as a sum of positive squares in 2 ways, for example, as 326163600 + 401962401 = 18060^2 + 20049^2 .

It is not a de Polignac number, because 728126001 - 2⁵ = 728125969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728126081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2661 + ... + 38253.

It is an arithmetic number, because the mean of its divisors is an integer number (87685819).

Almost surely, 2^728126001 is an apocalyptic number.

It is an amenable number.

728126001 is a deficient number, since it is larger than the sum of its proper divisors (324103827).

728126001 is a wasteful number, since it uses less digits than its factorization.

728126001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37872 (or 37869 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 728126001 is about 26983.8099793191. The cubic root of 728126001 is about 899.6401857974.

Adding to 728126001 its reverse (100621827), we get a palindrome (828747828).

The spelling of 728126001 in words is "seven hundred twenty-eight million, one hundred twenty-six thousand, one".