663072 has 24 divisors (see below), whose sum is σ = 1740816. Its totient is φ = 220992.

The previous prime is 663071. The next prime is 663097. The reversal of 663072 is 270366.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (663071) 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 3 ways as a sum of consecutive naturals, for example, 3358 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (72534).

2⁶⁶³⁰⁷² is an apocalyptic number.

It is an amenable number.

663072 is an abundant number, since it is smaller than the sum of its proper divisors (1077744).

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

663072 is a wasteful number, since it uses less digits than its factorization.

663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 663072 is about 814.2923308002. The cubic root of 663072 is about 87.2007518943.

The spelling of 663072 in words is "six hundred sixty-three thousand, seventy-two".