410072 has 16 divisors (see below), whose sum is σ = 828240. Its totient is φ = 189216.

The previous prime is 410063. The next prime is 410087. The reversal of 410072 is 270014.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1868 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (51765).

2⁴¹⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

410072 is an abundant number, since it is smaller than the sum of its proper divisors (418168).

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

410072 is a wasteful number, since it uses less digits than its factorization.

410072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 410072 is about 640.3686438295. The cubic root of 410072 is about 74.2939368188.

Adding to 410072 its reverse (270014), we get a palindrome (680086).

The spelling of 410072 in words is "four hundred ten thousand, seventy-two", and thus it is an iban number.