13377672 has 192 divisors, whose sum is σ = 47923200. Its totient is φ = 3265920.

The previous prime is 13377649. The next prime is 13377701. The reversal of 13377672 is 27677331.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 105273 + ... + 105399.

It is an arithmetic number, because the mean of its divisors is an integer number (249600).

Almost surely, 2^13377672 is an apocalyptic number.

13377672 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 13377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961600).

13377672 is an abundant number, since it is smaller than the sum of its proper divisors (34545528).

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

13377672 is a wasteful number, since it uses less digits than its factorization.

13377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 13377672 is about 3657.5499996582. The cubic root of 13377672 is about 237.3887759908.

It can be divided in two parts, 1337 and 7672, that added together give a palindrome (9009).

The spelling of 13377672 in words is "thirteen million, three hundred seventy-seven thousand, six hundred seventy-two".