13712952 has 64 divisors (see below), whose sum is σ = 37785600. Its totient is φ = 4112640.

The previous prime is 13712947. The next prime is 13712971. The reversal of 13712952 is 25921731.

13712952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33324 + ... + 33732.

It is an arithmetic number, because the mean of its divisors is an integer number (590400).

Almost surely, 2^13712952 is an apocalyptic number.

13712952 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 13712952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892800).

13712952 is an abundant number, since it is smaller than the sum of its proper divisors (24072648).

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

13712952 is a wasteful number, since it uses less digits than its factorization.

13712952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 13712952 is about 3703.1003227026. The cubic root of 13712952 is about 239.3556326206.

The spelling of 13712952 in words is "thirteen million, seven hundred twelve thousand, nine hundred fifty-two".