10339872 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3225600.

The previous prime is 10339871. The next prime is 10339883. The reversal of 10339872 is 27893301.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10339871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145597 + ... + 145667.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 2^10339872 is an apocalyptic number.

10339872 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 10339872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10339872 is an abundant number, since it is smaller than the sum of its proper divisors (18617952).

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

10339872 is a wasteful number, since it uses less digits than its factorization.

10339872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10339872 is about 3215.5671350479. The cubic root of 10339872 is about 217.8571013117.

It can be divided in two parts, 10339 and 872, that added together give a palindrome (11211).

The spelling of 10339872 in words is "ten million, three hundred thirty-nine thousand, eight hundred seventy-two".