725300667 has 48 divisors (see below), whose sum is σ = 1292578560. Its totient is φ = 381640896.

The previous prime is 725300657. The next prime is 725300669. The reversal of 725300667 is 766003527.

It is a happy number.

It is not a de Polignac number, because 725300667 - 2¹² = 725296571 is a prime.

It is a super-2 number, since 2×725300667² = 1052122115101289778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725300669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447184 + ... + 448802.

It is an arithmetic number, because the mean of its divisors is an integer number (26928720).

Almost surely, 2^725300667 is an apocalyptic number.

725300667 is a deficient number, since it is larger than the sum of its proper divisors (567277893).

725300667 is a wasteful number, since it uses less digits than its factorization.

725300667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 725300667 is about 26931.4067029556. The cubic root of 725300667 is about 898.4750583701.

The spelling of 725300667 in words is "seven hundred twenty-five million, three hundred thousand, six hundred sixty-seven".