16927872 has 64 divisors (see below), whose sum is σ = 48437760. Its totient is φ = 5207040.

The previous prime is 16927871. The next prime is 16927873. The reversal of 16927872 is 27872961.

It is an interprime number because it is at equal distance from previous prime (16927871) and next prime (16927873).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (16927871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3297 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (756840).

Almost surely, 2^16927872 is an apocalyptic number.

16927872 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 16927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218880).

16927872 is an abundant number, since it is smaller than the sum of its proper divisors (31509888).

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

16927872 is a wasteful number, since it uses less digits than its factorization.

16927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3409 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 16927872 is about 4114.3495233147. The cubic root of 16927872 is about 256.7639937483.

The spelling of 16927872 in words is "sixteen million, nine hundred twenty-seven thousand, eight hundred seventy-two".