872541312 has 64 divisors (see below), whose sum is σ = 2326579200. Its totient is φ = 289731584.

The previous prime is 872541311. The next prime is 872541343. The reversal of 872541312 is 213145278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×872541312² = 1522656682293362688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872541311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99073 + ... + 107519.

It is an arithmetic number, because the mean of its divisors is an integer number (36352800).

Almost surely, 2^872541312 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 872541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

872541312 is an abundant number, since it is smaller than the sum of its proper divisors (1454037888).

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

872541312 is a wasteful number, since it uses less digits than its factorization.

872541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8721 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 872541312 is about 29538.8102671722. The cubic root of 872541312 is about 955.5688841199.

The spelling of 872541312 in words is "eight hundred seventy-two million, five hundred forty-one thousand, three hundred twelve".