16167872 has 56 divisors (see below), whose sum is σ = 37063680. Its totient is φ = 6854400.

The previous prime is 16167869. The next prime is 16167881. The reversal of 16167872 is 27876161.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×16167872² = 522800170016768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67529 + ... + 67767.

Almost surely, 2^16167872 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 16167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

16167872 is an abundant number, since it is smaller than the sum of its proper divisors (20895808).

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

16167872 is a wasteful number, since it uses less digits than its factorization.

16167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 16167872 is about 4020.9292458336. The cubic root of 16167872 is about 252.8624184919.

The spelling of 16167872 in words is "sixteen million, one hundred sixty-seven thousand, eight hundred seventy-two".