11637972 has 48 divisors (see below), whose sum is σ = 30381120. Its totient is φ = 3852576.

The previous prime is 11637959. The next prime is 11637991. The reversal of 11637972 is 27973611.

It is a happy number.

11637972 is a `hidden beast` number, since 11 + 637 + 9 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21003 + ... + 21549.

It is an arithmetic number, because the mean of its divisors is an integer number (632940).

Almost surely, 2^11637972 is an apocalyptic number.

11637972 is a gapful number since it is divisible by the number (12) 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 11637972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190560).

11637972 is an abundant number, since it is smaller than the sum of its proper divisors (18743148).

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

11637972 is a wasteful number, since it uses less digits than its factorization.

11637972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11637972 is about 3411.4472002363. The cubic root of 11637972 is about 226.6169739201.

The spelling of 11637972 in words is "eleven million, six hundred thirty-seven thousand, nine hundred seventy-two".