72868 has 6 divisors (see below), whose sum is σ = 127526. Its totient is φ = 36432.

The previous prime is 72859. The next prime is 72869. The reversal of 72868 is 86827.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 19044 = 232^2 + 138^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9105 + ... + 9112.

2⁷²⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

72868 is a deficient number, since it is larger than the sum of its proper divisors (54658).

72868 is a wasteful number, since it uses less digits than its factorization.

72868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221 (or 18219 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 72868 is about 269.9407342362. The cubic root of 72868 is about 41.7681862276.

The spelling of 72868 in words is "seventy-two thousand, eight hundred sixty-eight".