10020272 has 40 divisors (see below), whose sum is σ = 20590944. Its totient is φ = 4713984.

The previous prime is 10020271. The next prime is 10020299. The reversal of 10020272 is 27202001.

It is not an unprimeable number, because it can be changed into a prime (10020271) 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, 26678 + ... + 27050.

Almost surely, 2^10020272 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 10020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295472).

10020272 is an abundant number, since it is smaller than the sum of its proper divisors (10570672).

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

10020272 is a wasteful number, since it uses less digits than its factorization.

10020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10020272 is about 3165.4813220109. The cubic root of 10020272 is about 215.5889530724.

Adding to 10020272 its reverse (27202001), we get a palindrome (37222273).

The spelling of 10020272 in words is "ten million, twenty thousand, two hundred seventy-two".