413072 has 20 divisors (see below), whose sum is σ = 873456. Its totient is φ = 187680.

The previous prime is 413071. The next prime is 413081. The reversal of 413072 is 270314.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413072.

It is not an unprimeable number, because it can be changed into a prime (413071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 998 + ... + 1349.

2⁴¹³⁰⁷² is an apocalyptic number.

It is an amenable number.

413072 is an abundant number, since it is smaller than the sum of its proper divisors (460384).

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

413072 is a wasteful number, since it uses less digits than its factorization.

413072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 413072 is about 642.7067760651. The cubic root of 413072 is about 74.4746697064.

Adding to 413072 its reverse (270314), we get a palindrome (683386).

It can be divided in two parts, 41 and 3072, that added together give a palindrome (3113).

The spelling of 413072 in words is "four hundred thirteen thousand, seventy-two".