12611872 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 4838400.

The previous prime is 12611869. The next prime is 12611891. The reversal of 12611872 is 27811621.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12611872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177597 + ... + 177667.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^12611872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

12611872 is an abundant number, since it is smaller than the sum of its proper divisors (18886112).

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

12611872 is a wasteful number, since it uses less digits than its factorization.

12611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 12611872 is about 3551.3197546828. The cubic root of 12611872 is about 232.7697381967.

The spelling of 12611872 in words is "twelve million, six hundred eleven thousand, eight hundred seventy-two".