11583972 has 30 divisors (see below), whose sum is σ = 30283638. Its totient is φ = 3861216.

The previous prime is 11583917. The next prime is 11583991. The reversal of 11583972 is 27938511.

11583972 is a `hidden beast` number, since 1 + 1 + 583 + 9 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11329956 + 254016 = 3366^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17553 + ... + 18200.

Almost surely, 2^11583972 is an apocalyptic number.

11583972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11583972 is an abundant number, since it is smaller than the sum of its proper divisors (18699666).

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

11583972 is a wasteful number, since it uses less digits than its factorization.

11583972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35769 (or 35758 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11583972 is about 3403.5234684074. The cubic root of 11583972 is about 226.2659307281.

The spelling of 11583972 in words is "eleven million, five hundred eighty-three thousand, nine hundred seventy-two".