10353672 has 48 divisors (see below), whose sum is σ = 32048640. Its totient is φ = 2958048.

The previous prime is 10353649. The next prime is 10353691. The reversal of 10353672 is 27635301.

It is a happy number.

10353672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9768 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (667680).

Almost surely, 2^10353672 is an apocalyptic number.

10353672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10353672 is an abundant number, since it is smaller than the sum of its proper divisors (21694968).

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

10353672 is a wasteful number, since it uses less digits than its factorization.

10353672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20562 (or 20555 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 10353672 is about 3217.7122307627. The cubic root of 10353672 is about 217.9539784455.

Adding to 10353672 its reverse (27635301), we get a palindrome (37988973).

It can be divided in two parts, 10353 and 672, that added together give a square (11025 = 105²).

The spelling of 10353672 in words is "ten million, three hundred fifty-three thousand, six hundred seventy-two".