872135424 has 180 divisors, whose sum is σ = 2628064824. Its totient is φ = 287649792.

The previous prime is 872135423. The next prime is 872135441. The reversal of 872135424 is 424531278.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (872135423) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2840679 + ... + 2840985.

Almost surely, 2^872135424 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 872135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314032412).

872135424 is an abundant number, since it is smaller than the sum of its proper divisors (1755929400).

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

872135424 is a wasteful number, since it uses less digits than its factorization.

872135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 872135424 is about 29531.9390491041. The cubic root of 872135424 is about 955.4206909078.

The spelling of 872135424 in words is "eight hundred seventy-two million, one hundred thirty-five thousand, four hundred twenty-four".