73672 has 8 divisors (see below), whose sum is σ = 138150. Its totient is φ = 36832.

The previous prime is 73651. The next prime is 73673. The reversal of 73672 is 27637.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 2916 = 266^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (73673) by changing a digit.

73672 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 as a sum of consecutive naturals, namely, 4597 + ... + 4612.

2⁷³⁶⁷² is an apocalyptic number.

It is an amenable number.

73672 is a deficient number, since it is larger than the sum of its proper divisors (64478).

73672 is a wasteful number, since it uses less digits than its factorization.

73672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9211 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 73672 is about 271.4258646482. The cubic root of 73672 is about 41.9212431891.

It can be divided in two parts, 736 and 72, that added together give a palindrome (808).

The spelling of 73672 in words is "seventy-three thousand, six hundred seventy-two".