672107200 has 84 divisors (see below), whose sum is σ = 1692437560. Its totient is φ = 262563840.

The previous prime is 672107153. The next prime is 672107201. The reversal of 672107200 is 2701276.

672107200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (672107201) 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 11 ways as a sum of consecutive naturals, for example, 63916 + ... + 73684.

Almost surely, 2^672107200 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 672107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846218780).

672107200 is an abundant number, since it is smaller than the sum of its proper divisors (1020330360).

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

672107200 is a wasteful number, since it uses less digits than its factorization.

672107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 672107200 is about 25925.0303760671. The cubic root of 672107200 is about 875.9504013396.

Adding to 672107200 its reverse (2701276), we get a palindrome (674808476).

The spelling of 672107200 in words is "six hundred seventy-two million, one hundred seven thousand, two hundred".