672867216 has 320 divisors, whose sum is σ = 2380800000. Its totient is φ = 181367424.

The previous prime is 672867203. The next prime is 672867227. The reversal of 672867216 is 612768276.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2815225 + ... + 2815463.

It is an arithmetic number, because the mean of its divisors is an integer number (7440000).

Almost surely, 2^672867216 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 672867216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190400000).

672867216 is an abundant number, since it is smaller than the sum of its proper divisors (1707932784).

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

672867216 is a wasteful number, since it uses less digits than its factorization.

672867216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

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

The square root of 672867216 is about 25939.6841923721. The cubic root of 672867216 is about 876.2804506435.

The spelling of 672867216 in words is "six hundred seventy-two million, eight hundred sixty-seven thousand, two hundred sixteen".