724726820 has 48 divisors (see below), whose sum is σ = 1596672000. Its totient is φ = 275936640.

The previous prime is 724726811. The next prime is 724726829. The reversal of 724726820 is 28627427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (724726811) and next prime (724726829).

It is not an unprimeable number, because it can be changed into a prime (724726829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32381 + ... + 49979.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 2^724726820 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 724726820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

724726820 is an abundant number, since it is smaller than the sum of its proper divisors (871945180).

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

724726820 is a wasteful number, since it uses less digits than its factorization.

724726820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17708 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 724726820 is about 26920.7507324740. The cubic root of 724726820 is about 898.2380425250.

The spelling of 724726820 in words is "seven hundred twenty-four million, seven hundred twenty-six thousand, eight hundred twenty".