648072 has 24 divisors (see below), whose sum is σ = 1755390. Its totient is φ = 216000.

The previous prime is 648061. The next prime is 648073. The reversal of 648072 is 270846.

It can be written as a sum of positive squares in only one way, i.e., 617796 + 30276 = 786^2 + 174^2 .

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

It is not an unprimeable number, because it can be changed into a prime (648073) by changing a digit.

648072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4429 + ... + 4572.

2⁶⁴⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

648072 is an abundant number, since it is smaller than the sum of its proper divisors (1107318).

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

648072 is a wasteful number, since it uses less digits than its factorization.

648072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 648072 is about 805.0291920173. The cubic root of 648072 is about 86.5381790988.

The spelling of 648072 in words is "six hundred forty-eight thousand, seventy-two".