13731072 has 72 divisors (see below), whose sum is σ = 38508960. Its totient is φ = 4331520.

The previous prime is 13731071. The next prime is 13731083. The reversal of 13731072 is 27013731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14122 + ... + 15062.

Almost surely, 2^13731072 is an apocalyptic number.

13731072 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 13731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254480).

13731072 is an abundant number, since it is smaller than the sum of its proper divisors (24777888).

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

13731072 is an equidigital number, since it uses as much as digits as its factorization.

13731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13731072 is about 3705.5461135978. The cubic root of 13731072 is about 239.4610126811.

The spelling of 13731072 in words is "thirteen million, seven hundred thirty-one thousand, seventy-two".