664272 has 60 divisors (see below), whose sum is σ = 2127840. Its totient is φ = 189504.

The previous prime is 664271. The next prime is 664273. The reversal of 664272 is 272466.

It is an interprime number because it is at equal distance from previous prime (664271) and next prime (664273).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 679 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (35464).

2⁶⁶⁴²⁷² 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 664272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063920).

664272 is an abundant number, since it is smaller than the sum of its proper divisors (1463568).

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

664272 is a wasteful number, since it uses less digits than its factorization.

664272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 664272 is about 815.0288338458. The cubic root of 664272 is about 87.2533242850.

The spelling of 664272 in words is "six hundred sixty-four thousand, two hundred seventy-two".