13742772 has 24 divisors (see below), whose sum is σ = 32546976. Its totient is φ = 4512288.

The previous prime is 13742737. The next prime is 13742777. The reversal of 13742772 is 27724731.

13742772 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742777) 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, 7743 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (1356124).

Almost surely, 2^13742772 is an apocalyptic number.

13742772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13742772 is an abundant number, since it is smaller than the sum of its proper divisors (18804204).

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

13742772 is a wasteful number, since it uses less digits than its factorization.

13742772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167 (or 17165 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 13742772 is about 3707.1244921098. The cubic root of 13742772 is about 239.5290068496.

The spelling of 13742772 in words is "thirteen million, seven hundred forty-two thousand, seven hundred seventy-two".