412272 has 60 divisors (see below), whose sum is σ = 1321840. Its totient is φ = 117504.

The previous prime is 412253. The next prime is 412273. The reversal of 412272 is 272214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804 + ... + 1212.

2⁴¹²²⁷² is an apocalyptic number.

412272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660920).

412272 is an abundant number, since it is smaller than the sum of its proper divisors (909568).

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

412272 is a wasteful number, since it uses less digits than its factorization.

412272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 412272 is about 642.0841066402. The cubic root of 412272 is about 74.4265600628.

Adding to 412272 its reverse (272214), we get a palindrome (684486).

The spelling of 412272 in words is "four hundred twelve thousand, two hundred seventy-two", and thus it is an iban number.