417372 has 12 divisors (see below), whose sum is σ = 973896. Its totient is φ = 139120.

The previous prime is 417371. The next prime is 417377. The reversal of 417372 is 273714.

417372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17379 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (81158).

2⁴¹⁷³⁷² is an apocalyptic number.

It is an amenable number.

417372 is an abundant number, since it is smaller than the sum of its proper divisors (556524).

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

417372 is a wasteful number, since it uses less digits than its factorization.

417372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34788 (or 34786 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 417372 is about 646.0433421993. The cubic root of 417372 is about 74.7322004725.

The spelling of 417372 in words is "four hundred seventeen thousand, three hundred seventy-two", and thus it is an iban number.