872315136 has 432 divisors, whose sum is σ = 3262224000. Its totient is φ = 225054720.

The previous prime is 872315131. The next prime is 872315149. The reversal of 872315136 is 631513278.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 872315136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872315131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854390 + ... + 5854538.

Almost surely, 2^872315136 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 872315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631112000).

872315136 is an abundant number, since it is smaller than the sum of its proper divisors (2389908864).

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

872315136 is a wasteful number, since it uses less digits than its factorization.

872315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 872315136 is about 29534.9815642401. The cubic root of 872315136 is about 955.4863109809.

The spelling of 872315136 in words is "eight hundred seventy-two million, three hundred fifteen thousand, one hundred thirty-six".