72268 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 29568.

The previous prime is 72253. The next prime is 72269. The reversal of 72268 is 86227.

It is not an unprimeable number, because it can be changed into a prime (72269) 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 in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 856.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁷²²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

72268 is an abundant number, since it is smaller than the sum of its proper divisors (78932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72268 is a wasteful number, since it uses less digits than its factorization.

72268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 72268 is about 268.8270819691. The cubic root of 72268 is about 41.6532294448.

It can be divided in two parts, 7 and 2268, that multiplied together give a square (15876 = 126²).

The spelling of 72268 in words is "seventy-two thousand, two hundred sixty-eight".