10872120 has 144 divisors (see below), whose sum is σ = 38844360. Its totient is φ = 2427264.

The previous prime is 10872101. The next prime is 10872131. The reversal of 10872120 is 2127801.

10872120 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

10872120 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252819 + ... + 252861.

Almost surely, 2^10872120 is an apocalyptic number.

10872120 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 10872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422180).

10872120 is an abundant number, since it is smaller than the sum of its proper divisors (27972240).

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

10872120 is a wasteful number, since it uses less digits than its factorization.

10872120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10872120 is about 3297.2897961811. The cubic root of 10872120 is about 221.5328216305.

Adding to 10872120 its reverse (2127801), we get a palindrome (12999921).

The spelling of 10872120 in words is "ten million, eight hundred seventy-two thousand, one hundred twenty".