467072 has 32 divisors (see below), whose sum is σ = 963900. Its totient is φ = 225280.

The previous prime is 467063. The next prime is 467081. The reversal of 467072 is 270764.

It is an interprime number because it is at equal distance from previous prime (467063) and next prime (467081).

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 87616 = 616^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

467072 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5204 + ... + 5292.

2⁴⁶⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481950).

467072 is an abundant number, since it is smaller than the sum of its proper divisors (496828).

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

467072 is an equidigital number, since it uses as much as digits as its factorization.

467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 467072 is about 683.4266602936. The cubic root of 467072 is about 77.5880096258.

It can be divided in two parts, 4 and 67072, that added together give a palindrome (67076).

The spelling of 467072 in words is "four hundred sixty-seven thousand, seventy-two".