872712000 has 672 divisors, whose sum is σ = 3560454144. Its totient is φ = 202752000.

The previous prime is 872711989. The next prime is 872712059. The reversal of 872712000 is 217278.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28151985 + ... + 28152015.

Almost surely, 2^872712000 is an apocalyptic number.

872712000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780227072).

872712000 is an abundant number, since it is smaller than the sum of its proper divisors (2687742144).

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

872712000 is a wasteful number, since it uses less digits than its factorization.

872712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 872712000 is about 29541.6993417779. The cubic root of 872712000 is about 955.6311900551.

Adding to 872712000 its reverse (217278), we get a palindrome (872929278).

The spelling of 872712000 in words is "eight hundred seventy-two million, seven hundred twelve thousand".