672616728 has 144 divisors (see below), whose sum is σ = 2145550680. Its totient is φ = 189778176.

The previous prime is 672616723. The next prime is 672616733. The reversal of 672616728 is 827616276.

672616728 is a `hidden beast` number, since 6 + 7 + 2 + 616 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (672616723) and next prime (672616733).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672616723) 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 35 ways as a sum of consecutive naturals, for example, 291676 + ... + 293972.

Almost surely, 2^672616728 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 672616728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072775340).

672616728 is an abundant number, since it is smaller than the sum of its proper divisors (1472933952).

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

672616728 is a wasteful number, since it uses less digits than its factorization.

672616728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2392 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 672616728 is about 25934.8554651843. The cubic root of 672616728 is about 876.1716996273.

The spelling of 672616728 in words is "six hundred seventy-two million, six hundred sixteen thousand, seven hundred twenty-eight".