6172828272 has 120 divisors (see below), whose sum is σ = 18919882800. Its totient is φ = 1867106304.

The previous prime is 6172828261. The next prime is 6172828279. The reversal of 6172828272 is 2728282716.

6172828272 is a `hidden beast` number, since 617 + 2 + 8 + 2 + 8 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6172828279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82504 + ... + 138392.

It is an arithmetic number, because the mean of its divisors is an integer number (157665690).

Almost surely, 2^6172828272 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 6172828272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9459941400).

6172828272 is an abundant number, since it is smaller than the sum of its proper divisors (12747054528).

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

6172828272 is a wasteful number, since it uses less digits than its factorization.

6172828272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55975 (or 55966 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 6172828272 is about 78567.3486379679. The cubic root of 6172828272 is about 1834.4029143304.

It can be divided in two parts, 61728 and 28272, that added together give a square (90000 = 300²).

The spelling of 6172828272 in words is "six billion, one hundred seventy-two million, eight hundred twenty-eight thousand, two hundred seventy-two".