89314272 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 29545344.

The previous prime is 89314271. The next prime is 89314289. The reversal of 89314272 is 27241398.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89314271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143979 + ... + 144597.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^89314272 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 89314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

89314272 is an abundant number, since it is smaller than the sum of its proper divisors (173168928).

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

89314272 is a wasteful number, since it uses less digits than its factorization.

89314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 89314272 is about 9450.6228366177. The cubic root of 89314272 is about 446.9994144400. Note that the first 3 decimals are identical.

It can be divided in two parts, 8931 and 4272, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 89314272 in words is "eighty-nine million, three hundred fourteen thousand, two hundred seventy-two".