13672120 has 128 divisors (see below), whose sum is σ = 40227840. Its totient is φ = 4055040.

The previous prime is 13672111. The next prime is 13672121. The reversal of 13672120 is 2127631.

13672120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13672091 and 13672100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13672121) 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, 70744 + ... + 70936.

It is an arithmetic number, because the mean of its divisors is an integer number (314280).

Almost surely, 2^13672120 is an apocalyptic number.

13672120 is a gapful number since it is divisible by the number (10) 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 13672120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113920).

13672120 is an abundant number, since it is smaller than the sum of its proper divisors (26555720).

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

13672120 is a wasteful number, since it uses less digits than its factorization.

13672120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13672120 is about 3697.5829943356. The cubic root of 13672120 is about 239.1178261600.

Adding to 13672120 its reverse (2127631), we get a palindrome (15799751).

The spelling of 13672120 in words is "thirteen million, six hundred seventy-two thousand, one hundred twenty".