86472 has 24 divisors (see below), whose sum is σ = 234390. Its totient is φ = 28800.

The previous prime is 86467. The next prime is 86477. The reversal of 86472 is 27468.

It is an interprime number because it is at equal distance from previous prime (86467) and next prime (86477).

It can be written as a sum of positive squares in only one way, i.e., 86436 + 36 = 294^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (86477) by changing a digit.

86472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529 + ... + 672.

2⁸⁶⁴⁷² is an apocalyptic number.

It is an amenable number.

86472 is an abundant number, since it is smaller than the sum of its proper divisors (147918).

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

86472 is a wasteful number, since it uses less digits than its factorization.

86472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1206 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 86472 is about 294.0612181162. The cubic root of 86472 is about 44.2206546791.

It can be divided in two parts, 8647 and 2, that added together give a square (8649 = 93²).

The spelling of 86472 in words is "eighty-six thousand, four hundred seventy-two".