872111232 has 128 divisors (see below), whose sum is σ = 2586067200. Its totient is φ = 289336320.

The previous prime is 872111143. The next prime is 872111243. The reversal of 872111232 is 232111278.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 872111196 and 872111205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956857 + ... + 957767.

It is an arithmetic number, because the mean of its divisors is an integer number (20203650).

Almost surely, 2^872111232 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 872111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293033600).

872111232 is an abundant number, since it is smaller than the sum of its proper divisors (1713955968).

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

872111232 is a wasteful number, since it uses less digits than its factorization.

872111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 872111232 is about 29531.5294558206. The cubic root of 872111232 is about 955.4118567480.

The spelling of 872111232 in words is "eight hundred seventy-two million, one hundred eleven thousand, two hundred thirty-two".