725507 has 2 divisors, whose sum is σ = 725508. Its totient is φ = 725506.

The previous prime is 725479. The next prime is 725519. The reversal of 725507 is 705527.

725507 is nontrivially palindromic in base 7.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 725507 - 2¹⁴ = 709123 is a prime.

It is a Chen prime.

It is equal to p₅₈₄₅₄ and since 725507 and 58454 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725507.

It is not a weakly prime, because it can be changed into another prime (725537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362753 + 362754.

It is an arithmetic number, because the mean of its divisors is an integer number (362754).

2⁷²⁵⁵⁰⁷ is an apocalyptic number.

725507 is a deficient number, since it is larger than the sum of its proper divisors (1).

725507 is an equidigital number, since it uses as much as digits as its factorization.

725507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 725507 is about 851.7669869160. The cubic root of 725507 is about 89.8560249467.

The spelling of 725507 in words is "seven hundred twenty-five thousand, five hundred seven".