729404625 has 32 divisors (see below), whose sum is σ = 1221277824. Its totient is φ = 386596800.

The previous prime is 729404593. The next prime is 729404629. The reversal of 729404625 is 526404927.

It is not a de Polignac number, because 729404625 - 2⁵ = 729404593 is a prime.

It is a super-2 number, since 2×729404625² = 1064062213942781250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (729404629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55159 + ... + 67091.

It is an arithmetic number, because the mean of its divisors is an integer number (38164932).

Almost surely, 2^729404625 is an apocalyptic number.

729404625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729404625 is a deficient number, since it is larger than the sum of its proper divisors (491873199).

729404625 is a wasteful number, since it uses less digits than its factorization.

729404625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 729404625 is about 27007.4920161055. The cubic root of 729404625 is about 900.1664815481.

The spelling of 729404625 in words is "seven hundred twenty-nine million, four hundred four thousand, six hundred twenty-five".