16216872 has 64 divisors (see below), whose sum is σ = 46932480. Its totient is φ = 4573632.

The previous prime is 16216831. The next prime is 16216873. The reversal of 16216872 is 27861261.

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 (16216873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13363 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (733320).

Almost surely, 2^16216872 is an apocalyptic number.

16216872 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 16216872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466240).

16216872 is an abundant number, since it is smaller than the sum of its proper divisors (30715608).

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

16216872 is a wasteful number, since it uses less digits than its factorization.

16216872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

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

The square root of 16216872 is about 4027.0177551136. The cubic root of 16216872 is about 253.1176110631.

The spelling of 16216872 in words is "sixteen million, two hundred sixteen thousand, eight hundred seventy-two".