723123072 has 256 divisors, whose sum is σ = 2479334400. Its totient is φ = 203212800.

The previous prime is 723123061. The next prime is 723123077. The reversal of 723123072 is 270321327.

It is a happy number.

723123072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723123077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717422 + ... + 1717842.

It is an arithmetic number, because the mean of its divisors is an integer number (9684900).

Almost surely, 2^723123072 is an apocalyptic number.

723123072 is a gapful number since it is divisible by the number (72) 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 723123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239667200).

723123072 is an abundant number, since it is smaller than the sum of its proper divisors (1756211328).

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

723123072 is a wasteful number, since it uses less digits than its factorization.

723123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 723123072 is about 26890.9477705789. The cubic root of 723123072 is about 897.5749828596.

Adding to 723123072 its reverse (270321327), we get a palindrome (993444399).

It can be divided in two parts, 7231 and 23072, that added together give a palindrome (30303).

The spelling of 723123072 in words is "seven hundred twenty-three million, one hundred twenty-three thousand, seventy-two".