10007296 has 72 divisors (see below), whose sum is σ = 22434944. Its totient is φ = 4423680.

The previous prime is 10007293. The next prime is 10007297. The reversal of 10007296 is 69270001.

It is a self number, because there is not a number n which added to its sum of digits gives 10007296.

It is not an unprimeable number, because it can be changed into a prime (10007293) 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, 103120 + ... + 103216.

Almost surely, 2^10007296 is an apocalyptic number.

10007296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217472).

10007296 is an abundant number, since it is smaller than the sum of its proper divisors (12427648).

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

10007296 is an equidigital number, since it uses as much as digits as its factorization.

10007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10007296 is about 3163.4310487191. The cubic root of 10007296 is about 215.4958521173.

Adding to 10007296 its reverse (69270001), we get a palindrome (79277297).

The spelling of 10007296 in words is "ten million, seven thousand, two hundred ninety-six".