11772172000 has 96 divisors (see below), whose sum is σ = 30446750880. Its totient is φ = 4461004800.

The previous prime is 11772171997. The next prime is 11772172003. The reversal of 11772172000 is 27127711.

It is an interprime number because it is at equal distance from previous prime (11772171997) and next prime (11772172003).

It is a self number, because there is not a number n which added to its sum of digits gives 11772172000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772172003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449 + ... + 153448.

It is an arithmetic number, because the mean of its divisors is an integer number (317153655).

Almost surely, 2^11772172000 is an apocalyptic number.

11772172000 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 11772172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223375440).

11772172000 is an abundant number, since it is smaller than the sum of its proper divisors (18674578880).

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

11772172000 is a wasteful number, since it uses less digits than its factorization.

11772172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154941 (or 154923 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 28.

Adding to 11772172000 its reverse (27127711), we get a palindrome (11799299711).

The spelling of 11772172000 in words is "eleven billion, seven hundred seventy-two million, one hundred seventy-two thousand".