67272 has 16 divisors (see below), whose sum is σ = 168240. Its totient is φ = 22416.

The previous prime is 67271. The next prime is 67273. The reversal of 67272 is 27276.

It is an interprime number because it is at equal distance from previous prime (67271) and next prime (67273).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2803 = 67272 / (6 + 7 + 2 + 7 + 2).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (67271) 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, 1378 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (10515).

2⁶⁷²⁷² is an apocalyptic number.

It is an amenable number.

67272 is an abundant number, since it is smaller than the sum of its proper divisors (100968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84120).

67272 is a wasteful number, since it uses less digits than its factorization.

67272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2808 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 67272 is about 259.3684637731. The cubic root of 67272 is about 40.6703690379.

It can be divided in two parts, 672 and 72, that multiplied together give a palindrome (48384).

The spelling of 67272 in words is "sixty-seven thousand, two hundred seventy-two".