72867 has 8 divisors (see below), whose sum is σ = 98496. Its totient is φ = 47912.

The previous prime is 72859. The next prime is 72869. The reversal of 72867 is 76827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72867 - 2³ = 72859 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2⁷²⁸⁶⁷ is an apocalyptic number.

72867 is a deficient number, since it is larger than the sum of its proper divisors (25629).

72867 is a wasteful number, since it uses less digits than its factorization.

72867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its digits is 4704, while the sum is 30.

The square root of 72867 is about 269.9388819715. The cubic root of 72867 is about 41.7679951589.

It can be divided in two parts, 72 and 867, that added together give a palindrome (939).

The spelling of 72867 in words is "seventy-two thousand, eight hundred sixty-seven".