412072 has 16 divisors (see below), whose sum is σ = 813600. Its totient is φ = 195120.

The previous prime is 412067. The next prime is 412073. The reversal of 412072 is 270214.

It is a d-powerful number, because it can be written as 4⁹ + 1 + 0 + 2¹¹ + 7⁵ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (412073) by changing a digit.

412072 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, 1204 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (50850).

2⁴¹²⁰⁷² is an apocalyptic number.

It is an amenable number.

412072 is a deficient number, since it is larger than the sum of its proper divisors (401528).

412072 is a wasteful number, since it uses less digits than its factorization.

412072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 412072 is about 641.9283449109. The cubic root of 412072 is about 74.4145229290.

Adding to 412072 its reverse (270214), we get a palindrome (682286).

It can be divided in two parts, 41207 and 2, that added together give a square (41209 = 203²).

The spelling of 412072 in words is "four hundred twelve thousand, seventy-two", and thus it is an iban number.