725712017 has 2 divisors, whose sum is σ = 725712018. Its totient is φ = 725712016.

The previous prime is 725711971. The next prime is 725712019. The reversal of 725712017 is 710217527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503374096 + 222337921 = 22436^2 + 14911^2 .

It is a cyclic number.

It is not a de Polignac number, because 725712017 - 2¹² = 725707921 is a prime.

Together with 725712019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (725712019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362856008 + 362856009.

It is an arithmetic number, because the mean of its divisors is an integer number (362856009).

Almost surely, 2^725712017 is an apocalyptic number.

It is an amenable number.

725712017 is a deficient number, since it is larger than the sum of its proper divisors (1).

725712017 is an equidigital number, since it uses as much as digits as its factorization.

725712017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 725712017 is about 26939.0426147627. The cubic root of 725712017 is about 898.6448812147.

The spelling of 725712017 in words is "seven hundred twenty-five million, seven hundred twelve thousand, seventeen".