320072 has 8 divisors (see below), whose sum is σ = 600150. Its totient is φ = 160032.

The previous prime is 320063. The next prime is 320081. The reversal of 320072 is 270023.

It is an interprime number because it is at equal distance from previous prime (320063) and next prime (320081).

It can be written as a sum of positive squares in only one way, i.e., 164836 + 155236 = 406^2 + 394^2 .

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

320072 is a modest number, since divided by 72 gives 32 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320072.

It is an unprimeable number.

320072 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19997 + ... + 20012.

2³²⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

320072 is a deficient number, since it is larger than the sum of its proper divisors (280078).

320072 is a wasteful number, since it uses less digits than its factorization.

320072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40015 (or 40011 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 320072 is about 565.7490609802. The cubic root of 320072 is about 68.4041674102.

Adding to 320072 its reverse (270023), we get a palindrome (590095).

It can be divided in two parts, 3200 and 72, that multiplied together give a square (230400 = 480²).

The spelling of 320072 in words is "three hundred twenty thousand, seventy-two", and thus it is an iban number.