415672 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 206016.

The previous prime is 415669. The next prime is 415673. The reversal of 415672 is 276514.

It is a super-3 number, since 3×415672³ = 215463429376633344, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415673) by changing a digit.

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, 1668 + ... + 1900.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁴¹⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

415672 is a deficient number, since it is larger than the sum of its proper divisors (370568).

415672 is a wasteful number, since it uses less digits than its factorization.

415672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 415672 is about 644.7262985174. The cubic root of 415672 is about 74.6305983677.

The spelling of 415672 in words is "four hundred fifteen thousand, six hundred seventy-two".