89072 has 20 divisors (see below), whose sum is σ = 182280. Its totient is φ = 42048.

The previous prime is 89071. The next prime is 89083. The reversal of 89072 is 27098.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2⁸⁹⁰⁷² 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 89072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140).

89072 is an abundant number, since it is smaller than the sum of its proper divisors (93208).

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

89072 is a wasteful number, since it uses less digits than its factorization.

89072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 89072 is about 298.4493256819. The cubic root of 89072 is about 44.6594874727.

Adding to 89072 its sum of digits (26), we get a palindrome (89098).

The spelling of 89072 in words is "eighty-nine thousand, seventy-two".