721319040 has 512 divisors, whose sum is σ = 2913120000. Its totient is φ = 168210432.

The previous prime is 721319017. The next prime is 721319047. The reversal of 721319040 is 40913127.

721319040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 721318995 and 721319013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721319047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37964151 + ... + 37964169.

Almost surely, 2^721319040 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 721319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456560000).

721319040 is an abundant number, since it is smaller than the sum of its proper divisors (2191800960).

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

721319040 is a wasteful number, since it uses less digits than its factorization.

721319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 721319040 is about 26857.3833423884. The cubic root of 721319040 is about 896.8279443154.

The spelling of 721319040 in words is "seven hundred twenty-one million, three hundred nineteen thousand, forty".