729607625 has 32 divisors (see below), whose sum is σ = 948408864. Its totient is φ = 559872000.

The previous prime is 729607589. The next prime is 729607663. The reversal of 729607625 is 526706927.

It can be written as a sum of positive squares in 16 ways, for example, as 283215241 + 446392384 = 16829^2 + 21128^2 .

It is not a de Polignac number, because 729607625 - 2⁸ = 729607369 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 336545 + ... + 338705.

It is an arithmetic number, because the mean of its divisors is an integer number (29637777).

Almost surely, 2^729607625 is an apocalyptic number.

It is an amenable number.

729607625 is a deficient number, since it is larger than the sum of its proper divisors (218801239).

729607625 is a wasteful number, since it uses less digits than its factorization.

729607625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 729607625 is about 27011.2499710769. The cubic root of 729607625 is about 900.2499819995.

The spelling of 729607625 in words is "seven hundred twenty-nine million, six hundred seven thousand, six hundred twenty-five".