10005272 has 16 divisors (see below), whose sum is σ = 18799560. Its totient is φ = 4992064.

The previous prime is 10005263. The next prime is 10005277. The reversal of 10005272 is 27250001.

It is a self number, because there is not a number n which added to its sum of digits gives 10005272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3923 + ... + 5949.

Almost surely, 2^10005272 is an apocalyptic number.

It is an amenable number.

10005272 is a deficient number, since it is larger than the sum of its proper divisors (8794288).

10005272 is a wasteful number, since it uses less digits than its factorization.

10005272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10005272 is about 3163.1111267232. Note that the first 4 decimals coincide. The cubic root of 10005272 is about 215.4813229507.

Adding to 10005272 its reverse (27250001), we get a palindrome (37255273).

The spelling of 10005272 in words is "ten million, five thousand, two hundred seventy-two".