85272616 has 64 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 35443200.

The previous prime is 85272587. The next prime is 85272619. The reversal of 85272616 is 61627258.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85272619) 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, 149580 + ... + 150148.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2^85272616 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 85272616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

85272616 is an abundant number, since it is smaller than the sum of its proper divisors (104332184).

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

85272616 is a wasteful number, since it uses less digits than its factorization.

85272616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 85272616 is about 9234.3173001581. The cubic root of 85272616 is about 440.1525228805.

The spelling of 85272616 in words is "eighty-five million, two hundred seventy-two thousand, six hundred sixteen".