13763472 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 4249600.

The previous prime is 13763471. The next prime is 13763479. The reversal of 13763472 is 27436731.

It is a super-2 number, since 2×13763472² = 378866322989568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13763471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82333 + ... + 82499.

Almost surely, 2^13763472 is an apocalyptic number.

13763472 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 13763472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

13763472 is an abundant number, since it is smaller than the sum of its proper divisors (24484080).

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

13763472 is a wasteful number, since it uses less digits than its factorization.

13763472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 13763472 is about 3709.9153629160. The cubic root of 13763472 is about 239.6492097479.

The spelling of 13763472 in words is "thirteen million, seven hundred sixty-three thousand, four hundred seventy-two".