89472 has 32 divisors (see below), whose sum is σ = 238680. Its totient is φ = 29696.

The previous prime is 89459. The next prime is 89477. The reversal of 89472 is 27498.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89477) by changing a digit.

89472 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 3 ways as a sum of consecutive naturals, for example, 268 + ... + 500.

2⁸⁹⁴⁷² 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 89472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

89472 is an abundant number, since it is smaller than the sum of its proper divisors (149208).

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

89472 is a wasteful number, since it uses less digits than its factorization.

89472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 89472 is about 299.1187055334. The cubic root of 89472 is about 44.7262391676.

It can be divided in two parts, 89 and 472, that added together give a triangular number (561 = T₃₃).

The spelling of 89472 in words is "eighty-nine thousand, four hundred seventy-two".