721603008 has 252 divisors, whose sum is σ = 2474637672. Its totient is φ = 200309760.

The previous prime is 721603007. The next prime is 721603009. The reversal of 721603008 is 800306127.

It is an interprime number because it is at equal distance from previous prime (721603007) and next prime (721603009).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721603007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1043943 + ... + 1044633.

Almost surely, 2^721603008 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 721603008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237318836).

721603008 is an abundant number, since it is smaller than the sum of its proper divisors (1753034664).

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

721603008 is a wasteful number, since it uses less digits than its factorization.

721603008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 721603008 is about 26862.6694131466. The cubic root of 721603008 is about 896.9456162522.

It can be divided in two parts, 721 and 603008, that added together give a square (603729 = 777²).

The spelling of 721603008 in words is "seven hundred twenty-one million, six hundred three thousand, eight".