13832272 has 20 divisors (see below), whose sum is σ = 26905396. Its totient is φ = 6888960.

The previous prime is 13832267. The next prime is 13832279. The reversal of 13832272 is 27223831.

It can be written as a sum of positive squares in 2 ways, for example, as 698896 + 13133376 = 836^2 + 3624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13832272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13832279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2872 + ... + 5992.

Almost surely, 2^13832272 is an apocalyptic number.

It is an amenable number.

13832272 is a deficient number, since it is larger than the sum of its proper divisors (13073124).

13832272 is a wasteful number, since it uses less digits than its factorization.

13832272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3400 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 13832272 is about 3719.1762528818. The cubic root of 13832272 is about 240.0478608253.

It can be divided in two parts, 1383 and 2272, that added together give a triangular number (3655 = T₈₅).

The spelling of 13832272 in words is "thirteen million, eight hundred thirty-two thousand, two hundred seventy-two".