89379072 has 144 divisors (see below), whose sum is σ = 269644480. Its totient is φ = 29196288.

The previous prime is 89379071. The next prime is 89379077. The reversal of 89379072 is 27097398.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89379071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463008 + ... + 463200.

Almost surely, 2^89379072 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 89379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134822240).

89379072 is an abundant number, since it is smaller than the sum of its proper divisors (180265408).

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

89379072 is a wasteful number, since it uses less digits than its factorization.

89379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 89379072 is about 9454.0505604741. The cubic root of 89379072 is about 447.1074918283.

The spelling of 89379072 in words is "eighty-nine million, three hundred seventy-nine thousand, seventy-two".