11538472 has 64 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 4847040.

The previous prime is 11538469. The next prime is 11538473. The reversal of 11538472 is 27483511.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11538473) 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, 111973 + ... + 112075.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^11538472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11538472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

11538472 is an abundant number, since it is smaller than the sum of its proper divisors (13920728).

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

11538472 is a wasteful number, since it uses less digits than its factorization.

11538472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 11538472 is about 3396.8326423302. The cubic root of 11538472 is about 225.9692964789.

The spelling of 11538472 in words is "eleven million, five hundred thirty-eight thousand, four hundred seventy-two".