728256672 has 144 divisors (see below), whose sum is σ = 2433176928. Its totient is φ = 203696640.

The previous prime is 728256631. The next prime is 728256673. The reversal of 728256672 is 276652827.

728256672 is a `hidden beast` number, since 7 + 2 + 82 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (728256673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32343 + ... + 50025.

It is an arithmetic number, because the mean of its divisors is an integer number (16897062).

Almost surely, 2^728256672 is an apocalyptic number.

728256672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216588464).

728256672 is an abundant number, since it is smaller than the sum of its proper divisors (1704920256).

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

728256672 is a wasteful number, since it uses less digits than its factorization.

728256672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17723 (or 17712 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 728256672 is about 26986.2311559062. The cubic root of 728256672 is about 899.6939996753.

It can be divided in two parts, 72825 and 6672, that added together give a palindrome (79497).

The spelling of 728256672 in words is "seven hundred twenty-eight million, two hundred fifty-six thousand, six hundred seventy-two".