10825472 has 54 divisors (see below), whose sum is σ = 25165728. Its totient is φ = 4634112.

The previous prime is 10825457. The next prime is 10825489. The reversal of 10825472 is 27452801.

It is a super-4 number, since 4×10825472⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12113 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 2^10825472 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 10825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582864).

10825472 is an abundant number, since it is smaller than the sum of its proper divisors (14340256).

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

10825472 is an frugal number, since it uses more digits than its factorization.

10825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 10825472 is about 3290.2085040313. The cubic root of 10825472 is about 221.2155306085.

The spelling of 10825472 in words is "ten million, eight hundred twenty-five thousand, four hundred seventy-two".