85812672 has 112 divisors (see below), whose sum is σ = 253983744. Its totient is φ = 25344000.

The previous prime is 85812667. The next prime is 85812673. The reversal of 85812672 is 27621858.

It is a self number, because there is not a number n which added to its sum of digits gives 85812672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85812673) 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, 86097 + ... + 87087.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^85812672 is an apocalyptic number.

85812672 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 85812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

85812672 is an abundant number, since it is smaller than the sum of its proper divisors (168171072).

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

85812672 is a wasteful number, since it uses less digits than its factorization.

85812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 85812672 is about 9263.5129405642. The cubic root of 85812672 is about 441.0797722835.

It can be divided in two parts, 858 and 12672, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 85812672 in words is "eighty-five million, eight hundred twelve thousand, six hundred seventy-two".