10872576 has 216 divisors, whose sum is σ = 38059280. Its totient is φ = 3041280.

The previous prime is 10872539. The next prime is 10872581. The reversal of 10872576 is 67527801.

10872576 is a `hidden beast` number, since 1 + 0 + 87 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10872576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836346 + ... + 836358.

Almost surely, 2^10872576 is an apocalyptic number.

10872576 is a gapful number since it is divisible by the number (16) 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 10872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029640).

10872576 is an abundant number, since it is smaller than the sum of its proper divisors (27186704).

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

10872576 is a wasteful number, since it uses less digits than its factorization.

10872576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10872576 is about 3297.3589431544. The cubic root of 10872576 is about 221.5359187742.

It can be divided in two parts, 108725 and 76, that added together give a palindrome (108801).

The spelling of 10872576 in words is "ten million, eight hundred seventy-two thousand, five hundred seventy-six".