85072104 has 96 divisors (see below), whose sum is σ = 250952520. Its totient is φ = 25878528.

The previous prime is 85072081. The next prime is 85072121. The reversal of 85072104 is 40127058.

It can be written as a sum of positive squares in 4 ways, for example, as 33663204 + 51408900 = 5802^2 + 7170^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90324 + ... + 91260.

Almost surely, 2^85072104 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 85072104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476260).

85072104 is an abundant number, since it is smaller than the sum of its proper divisors (165880416).

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

85072104 is a wasteful number, since it uses less digits than its factorization.

85072104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85072104 is about 9223.4540167987. The cubic root of 85072104 is about 439.8072571788.

It can be divided in two parts, 85072 and 104, that multiplied together give a palindrome (8847488).

The spelling of 85072104 in words is "eighty-five million, seventy-two thousand, one hundred four".