6226272 has 72 divisors (see below), whose sum is σ = 19079424. Its totient is φ = 1914624.

The previous prime is 6226229. The next prime is 6226273. The reversal of 6226272 is 2726226.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6226273) 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, 2913 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (264992).

Almost surely, 2^6226272 is an apocalyptic number.

6226272 is the 1248-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539712).

6226272 is an abundant number, since it is smaller than the sum of its proper divisors (12853152).

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

6226272 is a wasteful number, since it uses less digits than its factorization.

6226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1681 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 6226272 is about 2495.2498872858. The cubic root of 6226272 is about 183.9681734493.

The spelling of 6226272 in words is "six million, two hundred twenty-six thousand, two hundred seventy-two".