72368 has 10 divisors (see below), whose sum is σ = 140244. Its totient is φ = 36176.

The previous prime is 72367. The next prime is 72379. The reversal of 72368 is 86327.

72368 = T₈₇ + T₈₈ + ... + T₁₀₂.

It is not an unprimeable number, because it can be changed into a prime (72367) 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, 2246 + ... + 2277.

2⁷²³⁶⁸ is an apocalyptic number.

It is an amenable number.

72368 is a deficient number, since it is larger than the sum of its proper divisors (67876).

72368 is a wasteful number, since it uses less digits than its factorization.

72368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4525 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 72368 is about 269.0130108378. The cubic root of 72368 is about 41.6724329797.

The spelling of 72368 in words is "seventy-two thousand, three hundred sixty-eight".