13829072 has 20 divisors (see below), whose sum is σ = 27959520. Its totient is φ = 6613728.

The previous prime is 13829071. The next prime is 13829099. The reversal of 13829072 is 27092831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829071) 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, 18422 + ... + 19157.

It is an arithmetic number, because the mean of its divisors is an integer number (1397976).

Almost surely, 2^13829072 is an apocalyptic number.

It is an amenable number.

13829072 is an abundant number, since it is smaller than the sum of its proper divisors (14130448).

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

13829072 is a wasteful number, since it uses less digits than its factorization.

13829072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37610 (or 37604 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13829072 is about 3718.7460252080. The cubic root of 13829072 is about 240.0293482629.

The spelling of 13829072 in words is "thirteen million, eight hundred twenty-nine thousand, seventy-two".