723648 has 28 divisors (see below), whose sum is σ = 1915160. Its totient is φ = 241152.

The previous prime is 723623. The next prime is 723661. The reversal of 723648 is 846327.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 723648.

It is an unprimeable number.

723648 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1693 + ... + 2076.

2⁷²³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

723648 is an abundant number, since it is smaller than the sum of its proper divisors (1191512).

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

723648 is a wasteful number, since it uses less digits than its factorization.

723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3774 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 723648 is about 850.6750260822. The cubic root of 723648 is about 89.7792118917.

The spelling of 723648 in words is "seven hundred twenty-three thousand, six hundred forty-eight".