872417723008 has 96 divisors (see below), whose sum is σ = 1916260767540. Its totient is φ = 393288892416.

The previous prime is 872417722993. The next prime is 872417723017. The reversal of 872417723008 is 800327714278.

It can be written as a sum of positive squares in 2 ways, for example, as 851840394304 + 20577328704 = 922952^2 + 143448^2 .

It is a super-3 number, since 3×872417723008³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2934960 + ... + 3218512.

Almost surely, 2^872417723008 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 872417723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958130383770).

872417723008 is an abundant number, since it is smaller than the sum of its proper divisors (1043843044532).

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

872417723008 is a wasteful number, since it uses less digits than its factorization.

872417723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283666 (or 283611 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 872417723008 in words is "eight hundred seventy-two billion, four hundred seventeen million, seven hundred twenty-three thousand, eight".