723008 has 56 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 299520.

The previous prime is 722983. The next prime is 723029. The reversal of 723008 is 800327.

It is a congruent number.

It is an unprimeable number.

723008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 9113 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁷²³⁰⁰⁸ 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 723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

723008 is an abundant number, since it is smaller than the sum of its proper divisors (983872).

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

723008 is a wasteful number, since it uses less digits than its factorization.

723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 723008 is about 850.2987710211. The cubic root of 723008 is about 89.7527369375.

The spelling of 723008 in words is "seven hundred twenty-three thousand, eight".