13872128 has 88 divisors (see below), whose sum is σ = 31441920. Its totient is φ = 6082560.

The previous prime is 13872113. The next prime is 13872137. The reversal of 13872128 is 82127831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13872094 and 13872103.

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, 447473 + ... + 447503.

Almost surely, 2^13872128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720960).

13872128 is an abundant number, since it is smaller than the sum of its proper divisors (17569792).

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

13872128 is a wasteful number, since it uses less digits than its factorization.

13872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 13872128 is about 3724.5305744483. The cubic root of 13872128 is about 240.2781959232.

Adding to 13872128 its reverse (82127831), we get a palindrome (95999959).

The spelling of 13872128 in words is "thirteen million, eight hundred seventy-two thousand, one hundred twenty-eight".