10247072 has 48 divisors (see below), whose sum is σ = 22552992. Its totient is φ = 4542720.

The previous prime is 10247071. The next prime is 10247087. The reversal of 10247072 is 27074201.

It is not an unprimeable number, because it can be changed into a prime (10247071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14798 + ... + 15474.

It is an arithmetic number, because the mean of its divisors is an integer number (469854).

Almost surely, 2^10247072 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 10247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276496).

10247072 is an abundant number, since it is smaller than the sum of its proper divisors (12305920).

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

10247072 is a wasteful number, since it uses less digits than its factorization.

10247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 10247072 is about 3201.1048092807. The cubic root of 10247072 is about 217.2033883482.

It can be divided in two parts, 102 and 47072, that added together give a palindrome (47174).

The spelling of 10247072 in words is "ten million, two hundred forty-seven thousand, seventy-two".