872467872 has 96 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 284574720.

The previous prime is 872467867. The next prime is 872467879. The reversal of 872467872 is 278764278.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×872467872² = 1522400375344416768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872467879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242654 + ... + 2243042.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^872467872 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 872467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

872467872 is an abundant number, since it is smaller than the sum of its proper divisors (1467382368).

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

872467872 is a wasteful number, since it uses less digits than its factorization.

872467872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 51.

The square root of 872467872 is about 29537.5671306897. The cubic root of 872467872 is about 955.5420739480.

The spelling of 872467872 in words is "eight hundred seventy-two million, four hundred sixty-seven thousand, eight hundred seventy-two".