13812192 has 72 divisors (see below), whose sum is σ = 39639600. Its totient is φ = 4561920.

The previous prime is 13812191. The next prime is 13812193. The reversal of 13812192 is 29121831.

It is an interprime number because it is at equal distance from previous prime (13812191) and next prime (13812193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13812191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57192 + ... + 57432.

It is an arithmetic number, because the mean of its divisors is an integer number (550550).

Almost surely, 2^13812192 is an apocalyptic number.

13812192 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 13812192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819800).

13812192 is an abundant number, since it is smaller than the sum of its proper divisors (25827408).

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

13812192 is a wasteful number, since it uses less digits than its factorization.

13812192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13812192 is about 3716.4757499545. The cubic root of 13812192 is about 239.9316472014.

The spelling of 13812192 in words is "thirteen million, eight hundred twelve thousand, one hundred ninety-two".