872488512 has 252 divisors, whose sum is σ = 3064123920. Its totient is φ = 236017152.

The previous prime is 872488499. The next prime is 872488517. The reversal of 872488512 is 215884278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×872488512² = 1522472407143948288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872488517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535443 + ... + 537069.

Almost surely, 2^872488512 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 872488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532061960).

872488512 is an abundant number, since it is smaller than the sum of its proper divisors (2191635408).

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

872488512 is a wasteful number, since it uses less digits than its factorization.

872488512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1658 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 872488512 is about 29537.9165142026. The cubic root of 872488512 is about 955.5496089849.

The spelling of 872488512 in words is "eight hundred seventy-two million, four hundred eighty-eight thousand, five hundred twelve".