16128672 has 48 divisors (see below), whose sum is σ = 48388032. Its totient is φ = 4608000.

The previous prime is 16128659. The next prime is 16128677. The reversal of 16128672 is 27682161.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16128677) 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, 11329 + ... + 12672.

It is an arithmetic number, because the mean of its divisors is an integer number (1008084).

Almost surely, 2^16128672 is an apocalyptic number.

16128672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16128672 is an abundant number, since it is smaller than the sum of its proper divisors (32259360).

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

16128672 is a wasteful number, since it uses less digits than its factorization.

16128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24021 (or 24013 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 16128672 is about 4016.0517924947. The cubic root of 16128672 is about 252.6578929462.

The spelling of 16128672 in words is "sixteen million, one hundred twenty-eight thousand, six hundred seventy-two".