725760001 has 2 divisors, whose sum is σ = 725760002. Its totient is φ = 725760000.

The previous prime is 725759987. The next prime is 725760047. The reversal of 725760001 is 100067527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 615089601 + 110670400 = 24801^2 + 10520^2 .

It is a cyclic number.

It is not a de Polignac number, because 725760001 - 2⁷ = 725759873 is a prime.

It is not a weakly prime, because it can be changed into another prime (725760601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362880000 + 362880001.

It is an arithmetic number, because the mean of its divisors is an integer number (362880001).

Almost surely, 2^725760001 is an apocalyptic number.

It is an amenable number.

725760001 is a deficient number, since it is larger than the sum of its proper divisors (1).

725760001 is an equidigital number, since it uses as much as digits as its factorization.

725760001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 725760001 is about 26939.9332033322. The cubic root of 725760001 is about 898.6646868790.

The spelling of 725760001 in words is "seven hundred twenty-five million, seven hundred sixty thousand, one".