10072128 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2880000.

The previous prime is 10072123. The next prime is 10072129. The reversal of 10072128 is 82127001.

It is not an unprimeable number, because it can be changed into a prime (10072123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40003 + ... + 40253.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^10072128 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 10072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10072128 is an abundant number, since it is smaller than the sum of its proper divisors (20651712).

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

10072128 is a wasteful number, since it uses less digits than its factorization.

10072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10072128 is about 3173.6616076702. The cubic root of 10072128 is about 215.9602121501.

Adding to 10072128 its reverse (82127001), we get a palindrome (92199129).

The spelling of 10072128 in words is "ten million, seventy-two thousand, one hundred twenty-eight".