89872 has 20 divisors (see below), whose sum is σ = 179676. Its totient is φ = 43520.

The previous prime is 89867. The next prime is 89891. The reversal of 89872 is 27898.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 65536 = 156^2 + 256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 588 + ... + 724.

2⁸⁹⁸⁷² is an apocalyptic number.

89872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

89872 is a deficient number, since it is larger than the sum of its proper divisors (89804).

89872 is a wasteful number, since it uses less digits than its factorization.

89872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 89872 is about 299.7865907608. The cubic root of 89872 is about 44.7927922078.

It can be divided in two parts, 89 and 872, that added together give a square (961 = 31²).

The spelling of 89872 in words is "eighty-nine thousand, eight hundred seventy-two".