729306825 has 72 divisors (see below), whose sum is σ = 1317406752. Its totient is φ = 355829760.

The previous prime is 729306769. The next prime is 729306829. The reversal of 729306825 is 528603927.

It is not a de Polignac number, because 729306825 - 2⁹ = 729306313 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (729306829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2065849 + ... + 2066201.

It is an arithmetic number, because the mean of its divisors is an integer number (18297316).

Almost surely, 2^729306825 is an apocalyptic number.

729306825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729306825 is a deficient number, since it is larger than the sum of its proper divisors (588099927).

729306825 is a wasteful number, since it uses less digits than its factorization.

729306825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 729306825 is about 27005.6813467093. The cubic root of 729306825 is about 900.1262477218.

The spelling of 729306825 in words is "seven hundred twenty-nine million, three hundred six thousand, eight hundred twenty-five".