13771872 has 36 divisors (see below), whose sum is σ = 39164580. Its totient is φ = 4590528.

The previous prime is 13771847. The next prime is 13771907. The reversal of 13771872 is 27817731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23622 + ... + 24197.

It is an arithmetic number, because the mean of its divisors is an integer number (1087905).

Almost surely, 2^13771872 is an apocalyptic number.

13771872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13771872 is an abundant number, since it is smaller than the sum of its proper divisors (25392708).

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

13771872 is a wasteful number, since it uses less digits than its factorization.

13771872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47835 (or 47824 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 13771872 is about 3711.0472915338. The cubic root of 13771872 is about 239.6979533587.

It can be divided in two parts, 1377 and 1872, that added together give a square (3249 = 57²).

The spelling of 13771872 in words is "thirteen million, seven hundred seventy-one thousand, eight hundred seventy-two".