72987 has 4 divisors (see below), whose sum is σ = 97320. Its totient is φ = 48656.

The previous prime is 72977. The next prime is 72997. The reversal of 72987 is 78927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78927 = 3 ⋅26309.

It is an interprime number because it is at equal distance from previous prime (72977) and next prime (72997).

It is a cyclic number.

It is not a de Polignac number, because 72987 - 2⁶ = 72923 is a prime.

It is a D-number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72987.

It is not an unprimeable number, because it can be changed into a prime (72907) 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, 12162 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (24330).

2⁷²⁹⁸⁷ is an apocalyptic number.

72987 is a deficient number, since it is larger than the sum of its proper divisors (24333).

72987 is a wasteful number, since it uses less digits than its factorization.

72987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24332.

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

The square root of 72987 is about 270.1610630716. The cubic root of 72987 is about 41.7909109302.

The spelling of 72987 in words is "seventy-two thousand, nine hundred eighty-seven".