672733600 has 288 divisors, whose sum is σ = 2090866176. Its totient is φ = 205286400.

The previous prime is 672733553. The next prime is 672733603. The reversal of 672733600 is 6337276.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (672733603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4127119 + ... + 4127281.

It is an arithmetic number, because the mean of its divisors is an integer number (7259952).

Almost surely, 2^672733600 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 672733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045433088).

672733600 is an abundant number, since it is smaller than the sum of its proper divisors (1418132576).

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

672733600 is a wasteful number, since it uses less digits than its factorization.

672733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 672733600 is about 25937.1085512630. The cubic root of 672733600 is about 876.2224437357. Note that the first 3 decimals are identical.

The spelling of 672733600 in words is "six hundred seventy-two million, seven hundred thirty-three thousand, six hundred".