407172 has 12 divisors (see below), whose sum is σ = 950096. Its totient is φ = 135720.

The previous prime is 407153. The next prime is 407177. The reversal of 407172 is 271704.

407172 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 not an unprimeable number, because it can be changed into a prime (407177) by changing a digit.

407172 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 in 3 ways as a sum of consecutive naturals, for example, 16954 + ... + 16977.

2⁴⁰⁷¹⁷² is an apocalyptic number.

It is an amenable number.

407172 is an abundant number, since it is smaller than the sum of its proper divisors (542924).

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

407172 is a wasteful number, since it uses less digits than its factorization.

407172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33938 (or 33936 counting only the distinct ones).

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

The square root of 407172 is about 638.1003055947. The cubic root of 407172 is about 74.1183885332.

Adding to 407172 its reverse (271704), we get a palindrome (678876).

The spelling of 407172 in words is "four hundred seven thousand, one hundred seventy-two", and thus it is an iban number.