417072 has 20 divisors (see below), whose sum is σ = 1077560. Its totient is φ = 139008.

The previous prime is 417037. The next prime is 417089. The reversal of 417072 is 270714.

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, 4297 + ... + 4392.

It is an arithmetic number, because the mean of its divisors is an integer number (53878).

2⁴¹⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

417072 is an abundant number, since it is smaller than the sum of its proper divisors (660488).

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

417072 is a wasteful number, since it uses less digits than its factorization.

417072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 417072 is about 645.8111178975. The cubic root of 417072 is about 74.7142907629.

Adding to 417072 its reverse (270714), we get a palindrome (687786).

The spelling of 417072 in words is "four hundred seventeen thousand, seventy-two", and thus it is an iban number.