11072000 has 80 divisors (see below), whose sum is σ = 27768312. Its totient is φ = 4403200.

The previous prime is 11071979. The next prime is 11072029. The reversal of 11072000 is 27011.

It can be written as a sum of positive squares in 4 ways, for example, as 5837056 + 5234944 = 2416^2 + 2288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63914 + ... + 64086.

Almost surely, 2^11072000 is an apocalyptic number.

11072000 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 11072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884156).

11072000 is an abundant number, since it is smaller than the sum of its proper divisors (16696312).

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

11072000 is an frugal number, since it uses more digits than its factorization.

11072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 11072000 is about 3327.4614948937. The cubic root of 11072000 is about 222.8821862217.

Adding to 11072000 its reverse (27011), we get a palindrome (11099011).

The spelling of 11072000 in words is "eleven million, seventy-two thousand".