10253772 has 36 divisors (see below), whose sum is σ = 26555256. Its totient is φ = 3334080.

The previous prime is 10253767. The next prime is 10253783. The reversal of 10253772 is 27735201.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1998 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (737646).

Almost surely, 2^10253772 is an apocalyptic number.

10253772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10253772 is an abundant number, since it is smaller than the sum of its proper divisors (16301484).

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

10253772 is a wasteful number, since it uses less digits than its factorization.

10253772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10253772 is about 3202.1511519602. The cubic root of 10253772 is about 217.2507171736.

Adding to 10253772 its reverse (27735201), we get a palindrome (37988973).

It can be divided in two parts, 10253 and 772, that added together give a square (11025 = 105²).

The spelling of 10253772 in words is "ten million, two hundred fifty-three thousand, seven hundred seventy-two".