13785072 has 60 divisors (see below), whose sum is σ = 41432616. Its totient is φ = 3937920.

The previous prime is 13785041. The next prime is 13785091. The reversal of 13785072 is 27058731.

It is a super-4 number, since 4×13785072⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 5282.

Almost surely, 2^13785072 is an apocalyptic number.

13785072 is a gapful number since it is divisible by the number (12) 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 13785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716308).

13785072 is an abundant number, since it is smaller than the sum of its proper divisors (27647544).

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

13785072 is a wasteful number, since it uses less digits than its factorization.

13785072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 13785072 is about 3712.8253392800. The cubic root of 13785072 is about 239.7745104321.

The spelling of 13785072 in words is "thirteen million, seven hundred eighty-five thousand, seventy-two".