67972 has 6 divisors (see below), whose sum is σ = 118958. Its totient is φ = 33984.

The previous prime is 67967. The next prime is 67979. The reversal of 67972 is 27976.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 21316 = 216^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (67979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8493 + ... + 8500.

2⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

67972 is a deficient number, since it is larger than the sum of its proper divisors (50986).

67972 is a wasteful number, since it uses less digits than its factorization.

67972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16997 (or 16995 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 67972 is about 260.7144031311. The cubic root of 67972 is about 40.8109479783.

The spelling of 67972 in words is "sixty-seven thousand, nine hundred seventy-two".