89091072 has 132 divisors (see below), whose sum is σ = 294211216. Its totient is φ = 25436160.

The previous prime is 89091071. The next prime is 89091127. The reversal of 89091072 is 27019098.

It is a happy number.

It is a super-2 number, since 2×89091072² = 15874438220218368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89091071) 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 11 ways as a sum of consecutive naturals, for example, 63822 + ... + 65202.

Almost surely, 2^89091072 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 89091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147105608).

89091072 is an abundant number, since it is smaller than the sum of its proper divisors (205120144).

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

89091072 is a wasteful number, since it uses less digits than its factorization.

89091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 89091072 is about 9438.8067042397. The cubic root of 89091072 is about 446.6267472554.

The spelling of 89091072 in words is "eighty-nine million, ninety-one thousand, seventy-two".