729204525 has 90 divisors (see below), whose sum is σ = 1571481450. Its totient is φ = 333305280.

The previous prime is 729204517. The next prime is 729204527. The reversal of 729204525 is 525402927.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 84603204 + 644601321 = 9198^2 + 25389^2 .

It is not a de Polignac number, because 729204525 - 2³ = 729204517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 729204525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729204527) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 95551 + ... + 102899.

It is an arithmetic number, because the mean of its divisors is an integer number (17460905).

Almost surely, 2^729204525 is an apocalyptic number.

729204525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729204525 is an abundant number, since it is smaller than the sum of its proper divisors (842276925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729204525 is a wasteful number, since it uses less digits than its factorization.

729204525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 729204525 is about 27003.7872343862. The cubic root of 729204525 is about 900.0841587968.

The spelling of 729204525 in words is "seven hundred twenty-nine million, two hundred four thousand, five hundred twenty-five".