11772000 has 192 divisors, whose sum is σ = 43243200. Its totient is φ = 3110400.

The previous prime is 11771983. The next prime is 11772029. The reversal of 11772000 is 27711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107946 + ... + 108054.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^11772000 is an apocalyptic number.

11772000 is a gapful number since it is divisible by the number (10) 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 11772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

11772000 is an abundant number, since it is smaller than the sum of its proper divisors (31471200).

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

11772000 is a wasteful number, since it uses less digits than its factorization.

11772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 11772000 is about 3431.0348293190. The cubic root of 11772000 is about 227.4835958063.

Adding to 11772000 its reverse (27711), we get a palindrome (11799711).

The spelling of 11772000 in words is "eleven million, seven hundred seventy-two thousand".