724120320 has 576 divisors, whose sum is σ = 3014000640. Its totient is φ = 143769600.

The previous prime is 724120279. The next prime is 724120333. The reversal of 724120320 is 23021427.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9166041 + ... + 9166119.

It is an arithmetic number, because the mean of its divisors is an integer number (5232640).

Almost surely, 2^724120320 is an apocalyptic number.

724120320 is a gapful number since it is divisible by the number (70) 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 724120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507000320).

724120320 is an abundant number, since it is smaller than the sum of its proper divisors (2289880320).

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

724120320 is a wasteful number, since it uses less digits than its factorization.

724120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 724120320 is about 26909.4838300552. The cubic root of 724120320 is about 897.9874039863.

Adding to 724120320 its reverse (23021427), we get a palindrome (747141747).

The spelling of 724120320 in words is "seven hundred twenty-four million, one hundred twenty thousand, three hundred twenty".