86005472 has 48 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 36653568.

The previous prime is 86005463. The next prime is 86005477. The reversal of 86005472 is 27450068.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86005477) 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, 43154 + ... + 45102.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^86005472 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 86005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

86005472 is an abundant number, since it is smaller than the sum of its proper divisors (108588928).

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

86005472 is a wasteful number, since it uses less digits than its factorization.

86005472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 86005472 is about 9273.9135212703. The cubic root of 86005472 is about 441.4098578422.

The spelling of 86005472 in words is "eighty-six million, five thousand, four hundred seventy-two".