89395072 has 64 divisors (see below), whose sum is σ = 198092160. Its totient is φ = 39905280.

The previous prime is 89395063. The next prime is 89395079. The reversal of 89395072 is 27059398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89395079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50718 + ... + 52450.

It is an arithmetic number, because the mean of its divisors is an integer number (3095190).

Almost surely, 2^89395072 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 89395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99046080).

89395072 is an abundant number, since it is smaller than the sum of its proper divisors (108697088).

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

89395072 is a wasteful number, since it uses less digits than its factorization.

89395072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1779 counting only the distinct ones).

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

The square root of 89395072 is about 9454.8967207474. The cubic root of 89395072 is about 447.1341695613.

The spelling of 89395072 in words is "eighty-nine million, three hundred ninety-five thousand, seventy-two".