672007168 has 132 divisors (see below), whose sum is σ = 1596168720. Its totient is φ = 281874432.

The previous prime is 672007163. The next prime is 672007177. The reversal of 672007168 is 861700276.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (672007163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2960271 + ... + 2960497.

Almost surely, 2^672007168 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 672007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798084360).

672007168 is an abundant number, since it is smaller than the sum of its proper divisors (924161552).

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

672007168 is a wasteful number, since it uses less digits than its factorization.

672007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 672007168 is about 25923.1010490643. The cubic root of 672007168 is about 875.9069422912.

The spelling of 672007168 in words is "six hundred seventy-two million, seven thousand, one hundred sixty-eight".