6872040 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 1555200.

The previous prime is 6872023. The next prime is 6872071. The reversal of 6872040 is 402786.

6872040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6871995 and 6872013.

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 47 ways as a sum of consecutive naturals, for example, 67990 + ... + 68090.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^6872040 is an apocalyptic number.

6872040 is a gapful number since it is divisible by the number (60) 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 6872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

6872040 is an abundant number, since it is smaller than the sum of its proper divisors (19860120).

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

6872040 is a wasteful number, since it uses less digits than its factorization.

6872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6872040 is about 2621.4576098041. The cubic root of 6872040 is about 190.1203300558.

The spelling of 6872040 in words is "six million, eight hundred seventy-two thousand, forty".