721315200 has 192 divisors, whose sum is σ = 2393507520. Its totient is φ = 190924800.

The previous prime is 721315187. The next prime is 721315237. The reversal of 721315200 is 2513127.

721315200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179035 + ... + 2179365.

It is an arithmetic number, because the mean of its divisors is an integer number (12466185).

Almost surely, 2^721315200 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 721315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196753760).

721315200 is an abundant number, since it is smaller than the sum of its proper divisors (1672192320).

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

721315200 is a wasteful number, since it uses less digits than its factorization.

721315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 721315200 is about 26857.3118535716. The cubic root of 721315200 is about 896.8263528673.

Adding to 721315200 its reverse (2513127), we get a palindrome (723828327).

The spelling of 721315200 in words is "seven hundred twenty-one million, three hundred fifteen thousand, two hundred".