13735872 has 56 divisors (see below), whose sum is σ = 40386000. Its totient is φ = 4578048.

The previous prime is 13735867. The next prime is 13735901. The reversal of 13735872 is 27853731.

13735872 is a `hidden beast` number, since 1 + 3 + 73 + 587 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247 + ... + 5702.

Almost surely, 2^13735872 is an apocalyptic number.

13735872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13735872 is an abundant number, since it is smaller than the sum of its proper divisors (26650128).

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

13735872 is an equidigital number, since it uses as much as digits as its factorization.

13735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7954 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13735872 is about 3706.1937348174. The cubic root of 13735872 is about 239.4889123953.

The spelling of 13735872 in words is "thirteen million, seven hundred thirty-five thousand, eight hundred seventy-two".