11638272 has 40 divisors (see below), whose sum is σ = 31009176. Its totient is φ = 3878912.

The previous prime is 11638271. The next prime is 11638273. The reversal of 11638272 is 27283611.

It is an interprime number because it is at equal distance from previous prime (11638271) and next prime (11638273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2253 + ... + 5324.

Almost surely, 2^11638272 is an apocalyptic number.

11638272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11638272 is an abundant number, since it is smaller than the sum of its proper divisors (19370904).

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

11638272 is an frugal number, since it uses more digits than its factorization.

11638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7582 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11638272 is about 3411.4911695621. The cubic root of 11638272 is about 226.6189211238.

The spelling of 11638272 in words is "eleven million, six hundred thirty-eight thousand, two hundred seventy-two".