10080672 has 72 divisors (see below), whose sum is σ = 30796416. Its totient is φ = 2878848.

The previous prime is 10080671. The next prime is 10080689. The reversal of 10080672 is 27608001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10080671) 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, 3633 + ... + 5775.

It is an arithmetic number, because the mean of its divisors is an integer number (427728).

Almost surely, 2^10080672 is an apocalyptic number.

10080672 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 10080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398208).

10080672 is an abundant number, since it is smaller than the sum of its proper divisors (20715744).

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

10080672 is a wasteful number, since it uses less digits than its factorization.

10080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10080672 is about 3175.0074015662. The cubic root of 10080672 is about 216.0212599102.

Adding to 10080672 its reverse (27608001), we get a palindrome (37688673).

The spelling of 10080672 in words is "ten million, eighty thousand, six hundred seventy-two".