72104 has 8 divisors (see below), whose sum is σ = 135210. Its totient is φ = 36048.

The previous prime is 72103. The next prime is 72109. The reversal of 72104 is 40127.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 9604 = 250^2 + 98^2 .

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

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (72101) 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 as a sum of consecutive naturals, namely, 4499 + ... + 4514.

2⁷²¹⁰⁴ is an apocalyptic number.

It is an amenable number.

72104 is a deficient number, since it is larger than the sum of its proper divisors (63106).

72104 is a wasteful number, since it uses less digits than its factorization.

72104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 72104 is about 268.5218799279. The cubic root of 72104 is about 41.6216972613.

The spelling of 72104 in words is "seventy-two thousand, one hundred four", and thus it is an iban number.