85025472 has 112 divisors (see below), whose sum is σ = 263542272. Its totient is φ = 23685120.

The previous prime is 85025471. The next prime is 85025489. The reversal of 85025472 is 27452058.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (85025471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54333 + ... + 55875.

It is an arithmetic number, because the mean of its divisors is an integer number (2353056).

Almost surely, 2^85025472 is an apocalyptic number.

85025472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131771136).

85025472 is an abundant number, since it is smaller than the sum of its proper divisors (178516800).

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

85025472 is a wasteful number, since it uses less digits than its factorization.

85025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 85025472 is about 9220.9257669716. The cubic root of 85025472 is about 439.7268828472.

The spelling of 85025472 in words is "eighty-five million, twenty-five thousand, four hundred seventy-two".