13875972 has 48 divisors (see below), whose sum is σ = 36470784. Its totient is φ = 4068000.

The previous prime is 13875937. The next prime is 13875977. The reversal of 13875972 is 27957831.

13875972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13875977) 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, 2397 + ... + 5787.

It is an arithmetic number, because the mean of its divisors is an integer number (759808).

Almost surely, 2^13875972 is an apocalyptic number.

13875972 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 13875972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235392).

13875972 is an abundant number, since it is smaller than the sum of its proper divisors (22594812).

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

13875972 is a wasteful number, since it uses less digits than its factorization.

13875972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3438 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 13875972 is about 3725.0465768900. The cubic root of 13875972 is about 240.3003877620.

It can be divided in two parts, 138759 and 72, that added together give a palindrome (138831).

The spelling of 13875972 in words is "thirteen million, eight hundred seventy-five thousand, nine hundred seventy-two".