85072386 has 64 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 21669120.

The previous prime is 85072363. The next prime is 85072387. The reversal of 85072386 is 68327058.

It is not an unprimeable number, because it can be changed into a prime (85072387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10431 + ... + 16701.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^85072386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85072386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

85072386 is an abundant number, since it is smaller than the sum of its proper divisors (131687934).

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

85072386 is a wasteful number, since it uses less digits than its factorization.

85072386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85072386 is about 9223.4693039008. The cubic root of 85072386 is about 439.8077431411.

It can be divided in two parts, 85072 and 386, that added together give a palindrome (85458).

The spelling of 85072386 in words is "eighty-five million, seventy-two thousand, three hundred eighty-six".