13629072 has 40 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4385920.

The previous prime is 13629071. The next prime is 13629079. The reversal of 13629072 is 27092631.

It is not an unprimeable number, because it can be changed into a prime (13629071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3504 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^13629072 is an apocalyptic number.

13629072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13629072 is an abundant number, since it is smaller than the sum of its proper divisors (22797168).

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

13629072 is a wasteful number, since it uses less digits than its factorization.

13629072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13629072 is about 3691.7573051326. The cubic root of 13629072 is about 238.8666003923.

The spelling of 13629072 in words is "thirteen million, six hundred twenty-nine thousand, seventy-two".