104772 has 12 divisors (see below), whose sum is σ = 244496. Its totient is φ = 34920.

The previous prime is 104761. The next prime is 104773. The reversal of 104772 is 277401.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (104773) by changing a digit.

104772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 4354 + ... + 4377.

2¹⁰⁴⁷⁷² is an apocalyptic number.

104772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104772 is an abundant number, since it is smaller than the sum of its proper divisors (139724).

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

104772 is a wasteful number, since it uses less digits than its factorization.

104772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 104772 is about 323.6850320914. The cubic root of 104772 is about 47.1427679390.

The spelling of 104772 in words is "one hundred four thousand, seven hundred seventy-two", and thus it is an iban number.