16008672 has 48 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 5281152.

The previous prime is 16008649. The next prime is 16008673. The reversal of 16008672 is 27680061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

16008672 is a modest number, since divided by 8672 gives 160 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16008673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9079 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^16008672 is an apocalyptic number.

16008672 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 16008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

16008672 is an abundant number, since it is smaller than the sum of its proper divisors (26448288).

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

16008672 is a wasteful number, since it uses less digits than its factorization.

16008672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

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

The square root of 16008672 is about 4001.0838531578. The cubic root of 16008672 is about 252.0297269038.

The spelling of 16008672 in words is "sixteen million, eight thousand, six hundred seventy-two".