6872192 has 32 divisors (see below), whose sum is σ = 13962780. Its totient is φ = 3367936.

The previous prime is 6872189. The next prime is 6872197. The reversal of 6872192 is 2912786.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 440896 = 2536^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (6872197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6278 + ... + 7290.

Almost surely, 2^6872192 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 6872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981390).

6872192 is an abundant number, since it is smaller than the sum of its proper divisors (7090588).

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

6872192 is a wasteful number, since it uses less digits than its factorization.

6872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 6872192 is about 2621.4866011483. The cubic root of 6872192 is about 190.1217317782.

The spelling of 6872192 in words is "six million, eight hundred seventy-two thousand, one hundred ninety-two".