13772180 has 24 divisors (see below), whose sum is σ = 29320872. Its totient is φ = 5432832.

The previous prime is 13772167. The next prime is 13772183. The reversal of 13772180 is 8127731.

It can be written as a sum of positive squares in 4 ways, for example, as 2669956 + 11102224 = 1634^2 + 3332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3257 + ... + 6176.

It is an arithmetic number, because the mean of its divisors is an integer number (1221703).

Almost surely, 2^13772180 is an apocalyptic number.

13772180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13772180 is an abundant number, since it is smaller than the sum of its proper divisors (15548692).

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

13772180 is a wasteful number, since it uses less digits than its factorization.

13772180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 13772180 is about 3711.0887890214. The cubic root of 13772180 is about 239.6997402477.

The spelling of 13772180 in words is "thirteen million, seven hundred seventy-two thousand, one hundred eighty".