672715008 has 216 divisors, whose sum is σ = 2261383488. Its totient is φ = 188338176.

The previous prime is 672714983. The next prime is 672715031. The reversal of 672715008 is 800517276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854391 + ... + 855177.

It is an arithmetic number, because the mean of its divisors is an integer number (10469368).

Almost surely, 2^672715008 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 672715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130691744).

672715008 is an abundant number, since it is smaller than the sum of its proper divisors (1588668480).

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

672715008 is a wasteful number, since it uses less digits than its factorization.

672715008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 672715008 is about 25936.7501433776. The cubic root of 672715008 is about 876.2143717551.

The spelling of 672715008 in words is "six hundred seventy-two million, seven hundred fifteen thousand, eight".