10256272 has 30 divisors (see below), whose sum is σ = 21523362. Its totient is φ = 4732416.

The previous prime is 10256269. The next prime is 10256291. The reversal of 10256272 is 27265201.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 9960336 = 544^2 + 3156^2 .

It is a super-2 number, since 2×10256272² = 210382230675968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 808 + ... + 4600.

Almost surely, 2^10256272 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 10256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761681).

10256272 is an abundant number, since it is smaller than the sum of its proper divisors (11267090).

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

10256272 is a wasteful number, since it uses less digits than its factorization.

10256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10256272 is about 3202.5414907539. The cubic root of 10256272 is about 217.2683719013.

The spelling of 10256272 in words is "ten million, two hundred fifty-six thousand, two hundred seventy-two".