7405728001 has 16 divisors (see below), whose sum is σ = 8627472000. Its totient is φ = 6225043968.

The previous prime is 7405727971. The next prime is 7405728053. The reversal of 7405728001 is 1008275047.

It is a happy number.

7405728001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 7405728001 - 2⁷ = 7405727873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7405728091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172550 + ... + 1178848.

It is an arithmetic number, because the mean of its divisors is an integer number (539217000).

Almost surely, 2^7405728001 is an apocalyptic number.

It is an amenable number.

7405728001 is a deficient number, since it is larger than the sum of its proper divisors (1221743999).

7405728001 is a wasteful number, since it uses less digits than its factorization.

7405728001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 7405728001 is about 86056.5395597569. The cubic root of 7405728001 is about 1949.1978292501.

The spelling of 7405728001 in words is "seven billion, four hundred five million, seven hundred twenty-eight thousand, one".