467272 has 16 divisors (see below), whose sum is σ = 943740. Its totient is φ = 215616.

The previous prime is 467261. The next prime is 467293. The reversal of 467272 is 272764.

It can be written as a sum of positive squares in 2 ways, for example, as 454276 + 12996 = 674^2 + 114^2 .

It is a d-powerful number, because it can be written as 4⁹ + 6⁶ + 2¹³ + 7⁴ + 7⁵ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 467272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2143 + ... + 2350.

2⁴⁶⁷²⁷² is an apocalyptic number.

It is an amenable number.

467272 is an abundant number, since it is smaller than the sum of its proper divisors (476468).

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

467272 is a wasteful number, since it uses less digits than its factorization.

467272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4508 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 467272 is about 683.5729661126. The cubic root of 467272 is about 77.5990824280.

It can be divided in two parts, 4 and 67272, that added together give a palindrome (67276).

The spelling of 467272 in words is "four hundred sixty-seven thousand, two hundred seventy-two".