721963008 has 288 divisors, whose sum is σ = 2361078720. Its totient is φ = 210862080.

The previous prime is 721962971. The next prime is 721963009. The reversal of 721963008 is 800369127.

721963008 is a `hidden beast` number, since 7 + 2 + 19 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (721963009) 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 23 ways as a sum of consecutive naturals, for example, 5511103 + ... + 5511233.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2^721963008 is an apocalyptic number.

721963008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 721963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

721963008 is an abundant number, since it is smaller than the sum of its proper divisors (1639115712).

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

721963008 is a wasteful number, since it uses less digits than its factorization.

721963008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 721963008 is about 26869.3693264282. The cubic root of 721963008 is about 897.0947503033.

The spelling of 721963008 in words is "seven hundred twenty-one million, nine hundred sixty-three thousand, eight".