13875072 has 64 divisors (see below), whose sum is σ = 38482560. Its totient is φ = 4421120.

The previous prime is 13875047. The next prime is 13875101. The reversal of 13875072 is 27057831.

13875072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8047 + ... + 9617.

It is an arithmetic number, because the mean of its divisors is an integer number (601290).

Almost surely, 2^13875072 is an apocalyptic number.

13875072 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 13875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241280).

13875072 is an abundant number, since it is smaller than the sum of its proper divisors (24607488).

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

13875072 is a wasteful number, since it uses less digits than its factorization.

13875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 13875072 is about 3724.9257710725. The cubic root of 13875072 is about 240.2951923296.

The spelling of 13875072 in words is "thirteen million, eight hundred seventy-five thousand, seventy-two".