687072672 has 384 divisors, whose sum is σ = 2418232320. Its totient is φ = 187038720.

The previous prime is 687072653. The next prime is 687072679. The reversal of 687072672 is 276270786.

It is a happy number.

687072672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (687072679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8277943 + ... + 8278025.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2^687072672 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 687072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209116160).

687072672 is an abundant number, since it is smaller than the sum of its proper divisors (1731159648).

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

687072672 is a wasteful number, since it uses less digits than its factorization.

687072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 687072672 is about 26212.0711123711. The cubic root of 687072672 is about 882.4041833017.

The spelling of 687072672 in words is "six hundred eighty-seven million, seventy-two thousand, six hundred seventy-two".