723968 has 44 divisors (see below), whose sum is σ = 1670352. Its totient is φ = 307200.

The previous prime is 723967. The next prime is 723973. The reversal of 723968 is 869327.

It is not an unprimeable number, because it can be changed into a prime (723967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7118 + ... + 7218.

2⁷²³⁹⁶⁸ 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 723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835176).

723968 is an abundant number, since it is smaller than the sum of its proper divisors (946384).

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

723968 is a wasteful number, since it uses less digits than its factorization.

723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 723968 is about 850.8630912197. The cubic root of 723968 is about 89.7924435154.

The spelling of 723968 in words is "seven hundred twenty-three thousand, nine hundred sixty-eight".