13075392 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 3840000.

The previous prime is 13075379. The next prime is 13075399. The reversal of 13075392 is 29357031.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13075399) 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, 86517 + ... + 86667.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^13075392 is an apocalyptic number.

13075392 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 13075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

13075392 is an abundant number, since it is smaller than the sum of its proper divisors (25841472).

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

13075392 is a wasteful number, since it uses less digits than its factorization.

13075392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13075392 is about 3615.9911504316. The cubic root of 13075392 is about 235.5871360425.

The spelling of 13075392 in words is "thirteen million, seventy-five thousand, three hundred ninety-two".