10845072 has 180 divisors, whose sum is σ = 37213020. Its totient is φ = 2935296.

The previous prime is 10845061. The next prime is 10845091. The reversal of 10845072 is 27054801.

10845072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 4064256 = 2604^2 + 2016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204598 + ... + 204650.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 2^10845072 is an apocalyptic number.

10845072 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 10845072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606510).

10845072 is an abundant number, since it is smaller than the sum of its proper divisors (26367948).

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

10845072 is a wasteful number, since it uses less digits than its factorization.

10845072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10845072 is about 3293.1856916973. The cubic root of 10845072 is about 221.3489569784.

Adding to 10845072 its reverse (27054801), we get a palindrome (37899873).

The spelling of 10845072 in words is "ten million, eight hundred forty-five thousand, seventy-two".