6472872 has 80 divisors (see below), whose sum is σ = 20734560. Its totient is φ = 1848096.

The previous prime is 6472871. The next prime is 6472877. The reversal of 6472872 is 2782746.

6472872 is a `hidden beast` number, since 647 + 2 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6472871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3823 + ... + 5249.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 2^6472872 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 6472872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367280).

6472872 is an abundant number, since it is smaller than the sum of its proper divisors (14261688).

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

6472872 is a wasteful number, since it uses less digits than its factorization.

6472872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 6472872 is about 2544.1839556133. The cubic root of 6472872 is about 186.3655661618.

It can be divided in two parts, 6 and 472872, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 6472872 in words is "six million, four hundred seventy-two thousand, eight hundred seventy-two".