672627100 has 72 divisors (see below), whose sum is σ = 1561775040. Its totient is φ = 250552320.

The previous prime is 672627089. The next prime is 672627101. The reversal of 672627100 is 1726276.

672627100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672627101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162861 + ... + 166939.

It is an arithmetic number, because the mean of its divisors is an integer number (21691320).

Almost surely, 2^672627100 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 672627100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780887520).

672627100 is an abundant number, since it is smaller than the sum of its proper divisors (889147940).

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

672627100 is a wasteful number, since it uses less digits than its factorization.

672627100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 672627100 is about 25935.0554269699. The cubic root of 672627100 is about 876.1762032352.

The spelling of 672627100 in words is "six hundred seventy-two million, six hundred twenty-seven thousand, one hundred".