6412272 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1976832.

The previous prime is 6412271. The next prime is 6412283. The reversal of 6412272 is 2722146.

6412272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6412272² = 82234464403968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1344) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72004 + ... + 72092.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^6412272 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 6412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

6412272 is an abundant number, since it is smaller than the sum of its proper divisors (11443728).

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

6412272 is a wasteful number, since it uses less digits than its factorization.

6412272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 6412272 is about 2532.2464335052. The cubic root of 6412272 is about 185.7821475298.

The spelling of 6412272 in words is "six million, four hundred twelve thousand, two hundred seventy-two".