11172000 has 288 divisors, whose sum is σ = 44815680. Its totient is φ = 2419200.

The previous prime is 11171987. The next prime is 11172001. The reversal of 11172000 is 27111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11172001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587991 + ... + 588009.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^11172000 is an apocalyptic number.

11172000 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 11172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

11172000 is an abundant number, since it is smaller than the sum of its proper divisors (33643680).

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

11172000 is a wasteful number, since it uses less digits than its factorization.

11172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 11172000 is about 3342.4541881677. The cubic root of 11172000 is about 223.5511846696.

Adding to 11172000 its reverse (27111), we get a palindrome (11199111).

The spelling of 11172000 in words is "eleven million, one hundred seventy-two thousand".