10344672 has 120 divisors (see below), whose sum is σ = 32870376. Its totient is φ = 3172608.

The previous prime is 10344671. The next prime is 10344689. The reversal of 10344672 is 27644301.

10344672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33543 + ... + 33849.

Almost surely, 2^10344672 is an apocalyptic number.

10344672 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 10344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435188).

10344672 is an abundant number, since it is smaller than the sum of its proper divisors (22525704).

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

10344672 is a wasteful number, since it uses less digits than its factorization.

10344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10344672 is about 3216.3134175637. The cubic root of 10344672 is about 217.8908074773.

Adding to 10344672 its reverse (27644301), we get a palindrome (37988973).

The spelling of 10344672 in words is "ten million, three hundred forty-four thousand, six hundred seventy-two".