85428072 has 96 divisors (see below), whose sum is σ = 244857600. Its totient is φ = 26851968.

The previous prime is 85428059. The next prime is 85428073. The reversal of 85428072 is 27082458.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85428073) 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 23 ways as a sum of consecutive naturals, for example, 130498 + ... + 131150.

It is an arithmetic number, because the mean of its divisors is an integer number (2550600).

Almost surely, 2^85428072 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 85428072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122428800).

85428072 is an abundant number, since it is smaller than the sum of its proper divisors (159429528).

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

85428072 is a wasteful number, since it uses less digits than its factorization.

85428072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85428072 is about 9242.7307653096. The cubic root of 85428072 is about 440.4198334412.

The spelling of 85428072 in words is "eighty-five million, four hundred twenty-eight thousand, seventy-two".