85024072 has 128 divisors (see below), whose sum is σ = 206807040. Its totient is φ = 31933440.

The previous prime is 85024067. The next prime is 85024073. The reversal of 85024072 is 27042058.

It is a super-2 number, since 2×85024072² = 14458185638922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 85024072.

It is not an unprimeable number, because it can be changed into a prime (85024073) 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 31 ways as a sum of consecutive naturals, for example, 1268983 + ... + 1269049.

It is an arithmetic number, because the mean of its divisors is an integer number (1615680).

Almost surely, 2^85024072 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 85024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403520).

85024072 is an abundant number, since it is smaller than the sum of its proper divisors (121782968).

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

85024072 is a wasteful number, since it uses less digits than its factorization.

85024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 85024072 is about 9220.8498523726. The cubic root of 85024072 is about 439.7244693704.

The spelling of 85024072 in words is "eighty-five million, twenty-four thousand, seventy-two".