723301920 has 384 divisors, whose sum is σ = 2856591360. Its totient is φ = 169344000.

The previous prime is 723301919. The next prime is 723301927. The reversal of 723301920 is 29103327.

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

It is not an unprimeable number, because it can be changed into a prime (723301927) 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 63 ways as a sum of consecutive naturals, for example, 1472875 + ... + 1473365.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^723301920 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 723301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428295680).

723301920 is an abundant number, since it is smaller than the sum of its proper divisors (2133289440).

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

723301920 is a wasteful number, since it uses less digits than its factorization.

723301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 723301920 is about 26894.2729963091. The cubic root of 723301920 is about 897.6489749937.

The spelling of 723301920 in words is "seven hundred twenty-three million, three hundred one thousand, nine hundred twenty".