67572 has 18 divisors (see below), whose sum is σ = 170898. Its totient is φ = 22512.

The previous prime is 67567. The next prime is 67577. The reversal of 67572 is 27576.

It is an interprime number because it is at equal distance from previous prime (67567) and next prime (67577).

It can be written as a sum of positive squares in only one way, i.e., 60516 + 7056 = 246^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67577) by changing a digit.

67572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 903 + ... + 974.

2⁶⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

67572 is an abundant number, since it is smaller than the sum of its proper divisors (103326).

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

67572 is a wasteful number, since it uses less digits than its factorization.

67572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1882 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 67572 is about 259.9461482692. The cubic root of 67572 is about 40.7307359986.

It can be divided in two parts, 675 and 72, that added together give a palindrome (747).

The spelling of 67572 in words is "sixty-seven thousand, five hundred seventy-two".