13803072 has 112 divisors (see below), whose sum is σ = 39380160. Its totient is φ = 4257792.

The previous prime is 13803067. The next prime is 13803073. The reversal of 13803072 is 27030831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13803073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205983 + ... + 206049.

Almost surely, 2^13803072 is an apocalyptic number.

13803072 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 13803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19690080).

13803072 is an abundant number, since it is smaller than the sum of its proper divisors (25577088).

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

13803072 is a wasteful number, since it uses less digits than its factorization.

13803072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13803072 is about 3715.2485784938. The cubic root of 13803072 is about 239.8788277212.

13803072 divided by its sum of digits (24) gives a triangular number (575128 = T₁₀₇₂).

The spelling of 13803072 in words is "thirteen million, eight hundred three thousand, seventy-two".