72887 has 4 divisors (see below), whose sum is σ = 76080. Its totient is φ = 69696.

The previous prime is 72883. The next prime is 72889. The reversal of 72887 is 78827.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78827 = 7 ⋅11261.

It is a cyclic number.

It is not a de Polignac number, because 72887 - 2² = 72883 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72887.

It is not an unprimeable number, because it can be changed into a prime (72883) 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, 1562 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (19020).

2⁷²⁸⁸⁷ is an apocalyptic number.

72887 is a deficient number, since it is larger than the sum of its proper divisors (3193).

72887 is a wasteful number, since it uses less digits than its factorization.

72887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192.

The product of its digits is 6272, while the sum is 32.

The square root of 72887 is about 269.9759248526. The cubic root of 72887 is about 41.7718162004.

It can be divided in two parts, 728 and 87, that multiplied together give a palindrome (63336).

The spelling of 72887 in words is "seventy-two thousand, eight hundred eighty-seven".