2016872 has 64 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 806400.

The previous prime is 2016857. The next prime is 2016877. The reversal of 2016872 is 2786102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2016877) 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 15 ways as a sum of consecutive naturals, for example, 46883 + ... + 46925.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

2^2016872 is an apocalyptic number.

2016872 is a gapful number since it is divisible by the number (22) 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 2016872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2016872 is an abundant number, since it is smaller than the sum of its proper divisors (2640088).

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

2016872 is a wasteful number, since it uses less digits than its factorization.

2016872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2016872 is about 1420.1661874584. The cubic root of 2016872 is about 126.3454031689.

The spelling of 2016872 in words is "two million, sixteen thousand, eight hundred seventy-two".