13776672 has 192 divisors, whose sum is σ = 47416320. Its totient is φ = 3400704.

The previous prime is 13776649. The next prime is 13776673. The reversal of 13776672 is 27667731.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13776672.

It is not an unprimeable number, because it can be changed into a prime (13776673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165943 + ... + 166025.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^13776672 is an apocalyptic number.

13776672 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 13776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

13776672 is an abundant number, since it is smaller than the sum of its proper divisors (33639648).

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

13776672 is a wasteful number, since it uses less digits than its factorization.

13776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 13776672 is about 3711.6939529008. The cubic root of 13776672 is about 239.7257979522.

The spelling of 13776672 in words is "thirteen million, seven hundred seventy-six thousand, six hundred seventy-two".