723768 has 32 divisors (see below), whose sum is σ = 1846800. Its totient is φ = 236288.

The previous prime is 723761. The next prime is 723791. The reversal of 723768 is 867327.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723761) by changing a digit.

723768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1556.

2⁷²³⁷⁶⁸ 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 723768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923400).

723768 is an abundant number, since it is smaller than the sum of its proper divisors (1123032).

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

723768 is a wasteful number, since it uses less digits than its factorization.

723768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 723768 is about 850.7455553807. The cubic root of 723768 is about 89.7841742076.

The spelling of 723768 in words is "seven hundred twenty-three thousand, seven hundred sixty-eight".