407272 has 8 divisors (see below), whose sum is σ = 763650. Its totient is φ = 203632.

The previous prime is 407263. The next prime is 407273. The reversal of 407272 is 272704.

It can be written as a sum of positive squares in only one way, i.e., 376996 + 30276 = 614^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (8).

407272 is a modest number, since divided by 7272 gives 40 as remainder.

It is not an unprimeable number, because it can be changed into a prime (407273) by changing a digit.

407272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25447 + ... + 25462.

2⁴⁰⁷²⁷² is an apocalyptic number.

It is an amenable number.

407272 is a deficient number, since it is larger than the sum of its proper divisors (356378).

407272 is a wasteful number, since it uses less digits than its factorization.

407272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50915 (or 50911 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 407272 is about 638.1786583708. The cubic root of 407272 is about 74.1244557744.

Adding to 407272 its reverse (272704), we get a palindrome (679976).

The spelling of 407272 in words is "four hundred seven thousand, two hundred seventy-two", and thus it is an iban number.