729637025 has 48 divisors (see below), whose sum is σ = 1057151088. Its totient is φ = 494592000.

The previous prime is 729636997. The next prime is 729637037. The reversal of 729637025 is 520736927.

729637025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 587383696 + 142253329 = 24236^2 + 11927^2 .

It is not a de Polignac number, because 729637025 - 2⁶ = 729636961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224915 + ... + 228135.

It is an arithmetic number, because the mean of its divisors is an integer number (22023981).

Almost surely, 2^729637025 is an apocalyptic number.

It is an amenable number.

729637025 is a deficient number, since it is larger than the sum of its proper divisors (327514063).

729637025 is a wasteful number, since it uses less digits than its factorization.

729637025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 729637025 is about 27011.7941832822. The cubic root of 729637025 is about 900.2620738842.

The spelling of 729637025 in words is "seven hundred twenty-nine million, six hundred thirty-seven thousand, twenty-five".