11572064 has 48 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 4696704.

The previous prime is 11572061. The next prime is 11572079. The reversal of 11572064 is 46027511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11572061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2897 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 2^11572064 is an apocalyptic number.

11572064 is a gapful number since it is divisible by the number (14) 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 11572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

11572064 is an abundant number, since it is smaller than the sum of its proper divisors (15845536).

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

11572064 is a wasteful number, since it uses less digits than its factorization.

11572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 11572064 is about 3401.7736550217. The cubic root of 11572064 is about 226.1883724583.

Adding to 11572064 its reverse (46027511), we get a palindrome (57599575).

The spelling of 11572064 in words is "eleven million, five hundred seventy-two thousand, sixty-four".