10285072 has 40 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 4368000.

The previous prime is 10285039. The next prime is 10285073. The reversal of 10285072 is 27058201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14322 + ... + 15022.

Almost surely, 2^10285072 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 10285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

10285072 is an abundant number, since it is smaller than the sum of its proper divisors (12695600).

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

10285072 is a wasteful number, since it uses less digits than its factorization.

10285072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10285072 is about 3207.0347675072. The cubic root of 10285072 is about 217.4715477821.

The spelling of 10285072 in words is "ten million, two hundred eighty-five thousand, seventy-two".