89672 has 16 divisors (see below), whose sum is σ = 183600. Its totient is φ = 40720.

The previous prime is 89671. The next prime is 89681. The reversal of 89672 is 27698.

Added to its reverse (27698) it gives a triangular number (117370 = T₄₈₄).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89672.

It is not an unprimeable number, because it can be changed into a prime (89671) 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, 422 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2⁸⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

89672 is an abundant number, since it is smaller than the sum of its proper divisors (93928).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

89672 is a wasteful number, since it uses less digits than its factorization.

89672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 89672 is about 299.4528343496. The cubic root of 89672 is about 44.7595404271.

Adding to 89672 its reverse (27698), we get a triangular number (117370 = T₄₈₄).

The spelling of 89672 in words is "eighty-nine thousand, six hundred seventy-two".