6872016 has 40 divisors (see below), whose sum is σ = 18051424. Its totient is φ = 2252160.

The previous prime is 6871981. The next prime is 6872017. The reversal of 6872016 is 6102786.

It is a happy number.

6872016 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872017) 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, 1755 + ... + 4101.

Almost surely, 2^6872016 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 6872016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025712).

6872016 is an abundant number, since it is smaller than the sum of its proper divisors (11179408).

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

6872016 is a wasteful number, since it uses less digits than its factorization.

6872016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6872016 is about 2621.4530321942. The cubic root of 6872016 is about 190.1201087293.

The spelling of 6872016 in words is "six million, eight hundred seventy-two thousand, sixteen".