11572672 has 56 divisors (see below), whose sum is σ = 25034240. Its totient is φ = 5287680.

The previous prime is 11572667. The next prime is 11572679. The reversal of 11572672 is 27627511.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11572679) 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, 37543 + ... + 37849.

It is an arithmetic number, because the mean of its divisors is an integer number (447040).

Almost surely, 2^11572672 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 11572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517120).

11572672 is an abundant number, since it is smaller than the sum of its proper divisors (13461568).

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

11572672 is a wasteful number, since it uses less digits than its factorization.

11572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 11572672 is about 3401.8630189942. The cubic root of 11572672 is about 226.1923337258.

The spelling of 11572672 in words is "eleven million, five hundred seventy-two thousand, six hundred seventy-two".