10842272 has 48 divisors (see below), whose sum is σ = 24696000. Its totient is φ = 4589568.

The previous prime is 10842257. The next prime is 10842329. The reversal of 10842272 is 27224801.

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, 21479 + ... + 21977.

It is an arithmetic number, because the mean of its divisors is an integer number (514500).

Almost surely, 2^10842272 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 10842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348000).

10842272 is an abundant number, since it is smaller than the sum of its proper divisors (13853728).

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

10842272 is an equidigital number, since it uses as much as digits as its factorization.

10842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 10842272 is about 3292.7605439813. The cubic root of 10842272 is about 221.3299059162.

The spelling of 10842272 in words is "ten million, eight hundred forty-two thousand, two hundred seventy-two".