85291752 has 128 divisors (see below), whose sum is σ = 268128000. Its totient is φ = 22466304.

The previous prime is 85291729. The next prime is 85291753. The reversal of 85291752 is 25719258.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (50400) is a multiple of the sum of its prime factors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 85291752.

It is not an unprimeable number, because it can be changed into a prime (85291753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106618 + ... + 107414.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2^85291752 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 85291752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

85291752 is an abundant number, since it is smaller than the sum of its proper divisors (182836248).

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

85291752 is a wasteful number, since it uses less digits than its factorization.

85291752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 85291752 is about 9235.3533771047. The cubic root of 85291752 is about 440.1854452460.

The spelling of 85291752 in words is "eighty-five million, two hundred ninety-one thousand, seven hundred fifty-two".