419572 has 12 divisors (see below), whose sum is σ = 759780. Its totient is φ = 202496.

The previous prime is 419567. The next prime is 419579. The reversal of 419572 is 275914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 343396 = 276^2 + 586^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 419572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419579) by changing a digit.

419572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1693 + ... + 1924.

It is an arithmetic number, because the mean of its divisors is an integer number (63315).

2⁴¹⁹⁵⁷² is an apocalyptic number.

It is an amenable number.

419572 is a deficient number, since it is larger than the sum of its proper divisors (340208).

419572 is a wasteful number, since it uses less digits than its factorization.

419572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3648 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 419572 is about 647.7437765043. The cubic root of 419572 is about 74.8632768344.

The spelling of 419572 in words is "four hundred nineteen thousand, five hundred seventy-two".