89595072 has 168 divisors, whose sum is σ = 304734976. Its totient is φ = 25567488.

The previous prime is 89595047. The next prime is 89595073. The reversal of 89595072 is 27059598.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89595073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108453 + ... + 109275.

Almost surely, 2^89595072 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 89595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152367488).

89595072 is an abundant number, since it is smaller than the sum of its proper divisors (215139904).

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

89595072 is an equidigital number, since it uses as much as digits as its factorization.

89595072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 89595072 is about 9465.4673418696. The cubic root of 89595072 is about 447.4673729632.

The spelling of 89595072 in words is "eighty-nine million, five hundred ninety-five thousand, seventy-two".