85672592 has 40 divisors (see below), whose sum is σ = 174631680. Its totient is φ = 40659840.

The previous prime is 85672589. The next prime is 85672597. The reversal of 85672592 is 29527658.

It is not an unprimeable number, because it can be changed into a prime (85672597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24659 + ... + 27917.

It is an arithmetic number, because the mean of its divisors is an integer number (4365792).

Almost surely, 2^85672592 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 85672592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87315840).

85672592 is an abundant number, since it is smaller than the sum of its proper divisors (88959088).

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

85672592 is a wasteful number, since it uses less digits than its factorization.

85672592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 85672592 is about 9255.9490059097. The cubic root of 85672592 is about 440.8396364019.

The spelling of 85672592 in words is "eighty-five million, six hundred seventy-two thousand, five hundred ninety-two".