10590272 has 84 divisors (see below), whose sum is σ = 26755344. Its totient is φ = 4112640.

The previous prime is 10590257. The next prime is 10590299. The reversal of 10590272 is 27209501.

It is a super-2 number, since 2×10590272² = 224307722067968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34343 + ... + 34649.

It is an arithmetic number, because the mean of its divisors is an integer number (318516).

Almost surely, 2^10590272 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 10590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377672).

10590272 is an abundant number, since it is smaller than the sum of its proper divisors (16165072).

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

10590272 is a wasteful number, since it uses less digits than its factorization.

10590272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 10590272 is about 3254.2698105720. The cubic root of 10590272 is about 219.6017035865.

Adding to 10590272 its reverse (27209501), we get a palindrome (37799773).

The spelling of 10590272 in words is "ten million, five hundred ninety thousand, two hundred seventy-two".