85872744 has 64 divisors (see below), whose sum is σ = 239976000. Its totient is φ = 28451520.

The previous prime is 85872719. The next prime is 85872749. The reversal of 85872744 is 44727858.

85872744 is a `hidden beast` number, since 8 + 587 + 27 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85872744.

It is not an unprimeable number, because it can be changed into a prime (85872749) 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 15 ways as a sum of consecutive naturals, for example, 37554 + ... + 39774.

It is an arithmetic number, because the mean of its divisors is an integer number (3749625).

Almost surely, 2^85872744 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 85872744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119988000).

85872744 is an abundant number, since it is smaller than the sum of its proper divisors (154103256).

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

85872744 is a wasteful number, since it uses less digits than its factorization.

85872744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 85872744 is about 9266.7547717634. The cubic root of 85872744 is about 441.1826722516.

The spelling of 85872744 in words is "eighty-five million, eight hundred seventy-two thousand, seven hundred forty-four".