89972 has 12 divisors (see below), whose sum is σ = 159936. Its totient is φ = 44280.

The previous prime is 89963. The next prime is 89977. The reversal of 89972 is 27998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89977) by changing a digit.

89972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (13328).

2⁸⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

89972 is a deficient number, since it is larger than the sum of its proper divisors (69964).

89972 is a wasteful number, since it uses less digits than its factorization.

89972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 89972 is about 299.9533297031. The cubic root of 89972 is about 44.8093996008.

The spelling of 89972 in words is "eighty-nine thousand, nine hundred seventy-two".