672631200 has 216 divisors, whose sum is σ = 2397534048. Its totient is φ = 177431040.

The previous prime is 672631171. The next prime is 672631207. The reversal of 672631200 is 2136276.

It is a happy number.

672631200 is a `hidden beast` number, since 6 + 7 + 2 + 631 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (672631207) 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, 741147 + ... + 742053.

Almost surely, 2^672631200 is an apocalyptic number.

672631200 is a gapful number since it is divisible by the number (60) 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 672631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198767024).

672631200 is an abundant number, since it is smaller than the sum of its proper divisors (1724902848).

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

672631200 is a wasteful number, since it uses less digits than its factorization.

672631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 672631200 is about 25935.1344704438. The cubic root of 672631200 is about 876.1779834763.

Adding to 672631200 its reverse (2136276), we get a palindrome (674767476).

The spelling of 672631200 in words is "six hundred seventy-two million, six hundred thirty-one thousand, two hundred".