729907200 has 480 divisors, whose sum is σ = 2949861420. Its totient is φ = 176947200.

The previous prime is 729907187. The next prime is 729907207. The reversal of 729907200 is 2709927.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×729907200² = 1065529041223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729907207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355195 + ... + 66355205.

Almost surely, 2^729907200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474930710).

729907200 is an abundant number, since it is smaller than the sum of its proper divisors (2219954220).

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

729907200 is an equidigital number, since it uses as much as digits as its factorization.

729907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 729907200 is about 27016.7947765830. The cubic root of 729907200 is about 900.3731785761.

The spelling of 729907200 in words is "seven hundred twenty-nine million, nine hundred seven thousand, two hundred".