10839072 has 48 divisors (see below), whose sum is σ = 29695680. Its totient is φ = 3455232.

The previous prime is 10839061. The next prime is 10839077. The reversal of 10839072 is 27093801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10839077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 4662.

It is an arithmetic number, because the mean of its divisors is an integer number (618660).

Almost surely, 2^10839072 is an apocalyptic number.

10839072 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 10839072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847840).

10839072 is an abundant number, since it is smaller than the sum of its proper divisors (18856608).

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

10839072 is a wasteful number, since it uses less digits than its factorization.

10839072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10839072 is about 3292.2745936510. The cubic root of 10839072 is about 221.3081292569.

The spelling of 10839072 in words is "ten million, eight hundred thirty-nine thousand, seventy-two".