10635272 has 12 divisors (see below), whose sum is σ = 19958445. Its totient is φ = 5313024.

The previous prime is 10635271. The next prime is 10635299. The reversal of 10635272 is 27253601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9647236 + 988036 = 3106^2 + 994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2306.

It is a super-2 number, since 2×10635272² = 226218021027968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10635271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8648 + ... + 9800.

Almost surely, 2^10635272 is an apocalyptic number.

It is an amenable number.

10635272 is a deficient number, since it is larger than the sum of its proper divisors (9323173).

10635272 is an frugal number, since it uses more digits than its factorization.

10635272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10635272 is about 3261.1764748324. The cubic root of 10635272 is about 219.9123066473.

Adding to 10635272 its reverse (27253601), we get a palindrome (37888873).

The spelling of 10635272 in words is "ten million, six hundred thirty-five thousand, two hundred seventy-two".