6873072 has 60 divisors (see below), whose sum is σ = 18469800. Its totient is φ = 2202240.

The previous prime is 6873071. The next prime is 6873089. The reversal of 6873072 is 2703786.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46054 + ... + 46202.

It is an arithmetic number, because the mean of its divisors is an integer number (307830).

Almost surely, 2^6873072 is an apocalyptic number.

6873072 is a gapful number since it is divisible by the number (62) 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 6873072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234900).

6873072 is an abundant number, since it is smaller than the sum of its proper divisors (11596728).

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

6873072 is a wasteful number, since it uses less digits than its factorization.

6873072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 6873072 is about 2621.6544394714. The cubic root of 6873072 is about 190.1298466069.

The spelling of 6873072 in words is "six million, eight hundred seventy-three thousand, seventy-two".