89359072 has 96 divisors (see below), whose sum is σ = 206569440. Its totient is φ = 37601280.

The previous prime is 89359057. The next prime is 89359073. The reversal of 89359072 is 27095398.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89359073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652188 + ... + 652324.

It is an arithmetic number, because the mean of its divisors is an integer number (2151765).

Almost surely, 2^89359072 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 89359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103284720).

89359072 is an abundant number, since it is smaller than the sum of its proper divisors (117210368).

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

89359072 is a wasteful number, since it uses less digits than its factorization.

89359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 89359072 is about 9452.9927536204. The cubic root of 89359072 is about 447.0741401846.

The spelling of 89359072 in words is "eighty-nine million, three hundred fifty-nine thousand, seventy-two".