10226272 has 48 divisors (see below), whose sum is σ = 23369472. Its totient is φ = 4314240.

The previous prime is 10226269. The next prime is 10226309. The reversal of 10226272 is 27262201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15583 + ... + 16225.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 2^10226272 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 10226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736).

10226272 is an abundant number, since it is smaller than the sum of its proper divisors (13143200).

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

10226272 is an equidigital number, since it uses as much as digits as its factorization.

10226272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10226272 is about 3197.8542806075. The cubic root of 10226272 is about 217.0563255005.

Adding to 10226272 its reverse (27262201), we get a palindrome (37488473).

The spelling of 10226272 in words is "ten million, two hundred twenty-six thousand, two hundred seventy-two".