87972 has 12 divisors (see below), whose sum is σ = 205296. Its totient is φ = 29320.

The previous prime is 87961. The next prime is 87973. The reversal of 87972 is 27978.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (87973) by changing a digit.

87972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3654 + ... + 3677.

It is an arithmetic number, because the mean of its divisors is an integer number (17108).

2⁸⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

87972 is an abundant number, since it is smaller than the sum of its proper divisors (117324).

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 (102648).

87972 is a wasteful number, since it uses less digits than its factorization.

87972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7336 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 87972 is about 296.6007417388. The cubic root of 87972 is about 44.4748837774.

The spelling of 87972 in words is "eighty-seven thousand, nine hundred seventy-two".