723456 has 60 divisors (see below), whose sum is σ = 2101242. Its totient is φ = 239616.

The previous prime is 723451. The next prime is 723467. The reversal of 723456 is 654327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 57600 = 816^2 + 240^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (723451) 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 5 ways as a sum of consecutive naturals, for example, 4530 + ... + 4686.

2⁷²³⁴⁵⁶ 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 723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050621).

723456 is an abundant number, since it is smaller than the sum of its proper divisors (1377786).

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

723456 is a wasteful number, since it uses less digits than its factorization.

723456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 723456 is about 850.5621670401. The cubic root of 723456 is about 89.7712710450.

It can be divided in two parts, 72 and 3456, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 723456 in words is "seven hundred twenty-three thousand, four hundred fifty-six".