13123872 has 36 divisors (see below), whose sum is σ = 37321830. Its totient is φ = 4374528.

The previous prime is 13123861. The next prime is 13123879. The reversal of 13123872 is 27832131.

It can be written as a sum of positive squares in only one way, i.e., 8088336 + 5035536 = 2844^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22497 + ... + 23072.

Almost surely, 2^13123872 is an apocalyptic number.

13123872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123872 is an abundant number, since it is smaller than the sum of its proper divisors (24197958).

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

13123872 is a wasteful number, since it uses less digits than its factorization.

13123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45585 (or 45574 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13123872 is about 3622.6885044122. The cubic root of 13123872 is about 235.8779412872.

It can be divided in two parts, 1312 and 3872, that added together give a square (5184 = 72²).

The spelling of 13123872 in words is "thirteen million, one hundred twenty-three thousand, eight hundred seventy-two".