872145792 has 320 divisors, whose sum is σ = 3030207840. Its totient is φ = 243855360.

The previous prime is 872145779. The next prime is 872145829. The reversal of 872145792 is 297541278.

It is a happy number.

872145792 is a `hidden beast` number, since 8 + 72 + 1 + 4 + 579 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4427038 + ... + 4427234.

Almost surely, 2^872145792 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 872145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515103920).

872145792 is an abundant number, since it is smaller than the sum of its proper divisors (2158062048).

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

872145792 is a wasteful number, since it uses less digits than its factorization.

872145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 872145792 is about 29532.1145873437. The cubic root of 872145792 is about 955.4244769262.

The spelling of 872145792 in words is "eight hundred seventy-two million, one hundred forty-five thousand, seven hundred ninety-two".