10872000 has 168 divisors, whose sum is σ = 39148512. Its totient is φ = 2880000.

The previous prime is 10871983. The next prime is 10872007. The reversal of 10872000 is 27801.

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

It is not an unprimeable number, because it can be changed into a prime (10872007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71925 + ... + 72075.

Almost surely, 2^10872000 is an apocalyptic number.

10872000 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 10872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574256).

10872000 is an abundant number, since it is smaller than the sum of its proper divisors (28276512).

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

10872000 is a wasteful number, since it uses less digits than its factorization.

10872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10872000 is about 3297.2715993682. The cubic root of 10872000 is about 221.5320065783.

Adding to 10872000 its reverse (27801), we get a palindrome (10899801).

The spelling of 10872000 in words is "ten million, eight hundred seventy-two thousand".