13743432 has 80 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 4517856.

The previous prime is 13743427. The next prime is 13743449. The reversal of 13743432 is 23434731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13743396 and 13743405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82213 + ... + 82379.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 2^13743432 is an apocalyptic number.

13743432 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 13743432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13743432 is an abundant number, since it is smaller than the sum of its proper divisors (25286328).

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

13743432 is a wasteful number, since it uses less digits than its factorization.

13743432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13743432 is about 3707.2135088230. The cubic root of 13743432 is about 239.5328412680.

The spelling of 13743432 in words is "thirteen million, seven hundred forty-three thousand, four hundred thirty-two".