872712144 has 70 divisors (see below), whose sum is σ = 2535193826. Its totient is φ = 290900160.

The previous prime is 872712143. The next prime is 872712149. The reversal of 872712144 is 441217278.

It can be written as a sum of positive squares in only one way, i.e., 729000000 + 143712144 = 27000^2 + 11988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 872712099 and 872712108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872712143) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 25747 + ... + 49074.

Almost surely, 2^872712144 is an apocalyptic number.

It is an amenable number.

872712144 is an abundant number, since it is smaller than the sum of its proper divisors (1662481682).

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

872712144 is an equidigital number, since it uses as much as digits as its factorization.

872712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74847 (or 74826 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 872712144 is about 29541.7017790106. The cubic root of 872712144 is about 955.6312426157.

The spelling of 872712144 in words is "eight hundred seventy-two million, seven hundred twelve thousand, one hundred forty-four".