13072932 has 72 divisors (see below), whose sum is σ = 35911512. Its totient is φ = 3993600.

The previous prime is 13072921. The next prime is 13072933. The reversal of 13072932 is 23927031.

13072932 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 12787776 = 534^2 + 3576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13072896 and 13072905.

It is not an unprimeable number, because it can be changed into a prime (13072933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24832 + ... + 25352.

It is an arithmetic number, because the mean of its divisors is an integer number (498771).

Almost surely, 2^13072932 is an apocalyptic number.

13072932 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 13072932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955756).

13072932 is an abundant number, since it is smaller than the sum of its proper divisors (22838580).

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

13072932 is a wasteful number, since it uses less digits than its factorization.

13072932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13072932 is about 3615.6509787312. The cubic root of 13072932 is about 235.5723606868.

Adding to 13072932 its reverse (23927031), we get a palindrome (36999963).

The spelling of 13072932 in words is "thirteen million, seventy-two thousand, nine hundred thirty-two".