725305217 has 32 divisors (see below), whose sum is σ = 911269632. Its totient is φ = 562028544.

The previous prime is 725305201. The next prime is 725305219. The reversal of 725305217 is 712503527.

725305217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725305217 - 2⁴ = 725305201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725305219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054513 + ... + 2054865.

It is an arithmetic number, because the mean of its divisors is an integer number (28477176).

Almost surely, 2^725305217 is an apocalyptic number.

It is an amenable number.

725305217 is a deficient number, since it is larger than the sum of its proper divisors (185964415).

725305217 is a wasteful number, since it uses less digits than its factorization.

725305217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 725305217 is about 26931.4911766876. The cubic root of 725305217 is about 898.4769371555.

The spelling of 725305217 in words is "seven hundred twenty-five million, three hundred five thousand, two hundred seventeen".