13435872 has 48 divisors (see below), whose sum is σ = 35516880. Its totient is φ = 4447232.

The previous prime is 13435867. The next prime is 13435889. The reversal of 13435872 is 27853431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 16204 + ... + 17012.

It is an arithmetic number, because the mean of its divisors is an integer number (739935).

Almost surely, 2^13435872 is an apocalyptic number.

13435872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13435872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758440).

13435872 is an abundant number, since it is smaller than the sum of its proper divisors (22081008).

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

13435872 is a wasteful number, since it uses less digits than its factorization.

13435872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 13435872 is about 3665.4975105707. The cubic root of 13435872 is about 237.7325338423.

The spelling of 13435872 in words is "thirteen million, four hundred thirty-five thousand, eight hundred seventy-two".