13772160 has 128 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 3667968.

The previous prime is 13772123. The next prime is 13772167. The reversal of 13772160 is 6127731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772167) 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, 16882 + ... + 17678.

Almost surely, 2^13772160 is an apocalyptic number.

13772160 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 13772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

13772160 is an abundant number, since it is smaller than the sum of its proper divisors (35065440).

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

13772160 is an equidigital number, since it uses as much as digits as its factorization.

13772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13772160 is about 3711.0860943934. The cubic root of 13772160 is about 239.6996242168.

Adding to 13772160 its reverse (6127731), we get a palindrome (19899891).

The spelling of 13772160 in words is "thirteen million, seven hundred seventy-two thousand, one hundred sixty".