10281672 has 48 divisors (see below), whose sum is σ = 28314780. Its totient is φ = 3369600.

The previous prime is 10281653. The next prime is 10281727. The reversal of 10281672 is 27618201.

It can be written as a sum of positive squares in 2 ways, for example, as 9771876 + 509796 = 3126^2 + 714^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3222 + ... + 5562.

Almost surely, 2^10281672 is an apocalyptic number.

10281672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157390).

10281672 is an abundant number, since it is smaller than the sum of its proper divisors (18033108).

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

10281672 is a wasteful number, since it uses less digits than its factorization.

10281672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10281672 is about 3206.5046390111. The cubic root of 10281672 is about 217.4475815019.

Adding to 10281672 its reverse (27618201), we get a palindrome (37899873).

The spelling of 10281672 in words is "ten million, two hundred eighty-one thousand, six hundred seventy-two".