10068672 has 42 divisors (see below), whose sum is σ = 26756868. Its totient is φ = 3341568.

The previous prime is 10068661. The next prime is 10068677. The reversal of 10068672 is 27686001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10068677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43854 + ... + 44082.

Almost surely, 2^10068672 is an apocalyptic number.

10068672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378434).

10068672 is an abundant number, since it is smaller than the sum of its proper divisors (16688196).

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

10068672 is an frugal number, since it uses more digits than its factorization.

10068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10068672 is about 3173.1170794662. The cubic root of 10068672 is about 215.9355088675.

The spelling of 10068672 in words is "ten million, sixty-eight thousand, six hundred seventy-two".