654072 has 16 divisors (see below), whose sum is σ = 1635240. Its totient is φ = 218016.

The previous prime is 654067. The next prime is 654089. The reversal of 654072 is 270456.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 27253 = 654072 / (6 + 5 + 4 + 0 + 7 + 2).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

654072 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13603 + ... + 13650.

2⁶⁵⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

654072 is an abundant number, since it is smaller than the sum of its proper divisors (981168).

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

654072 is a wasteful number, since it uses less digits than its factorization.

654072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27262 (or 27258 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 654072 is about 808.7471792841. The cubic root of 654072 is about 86.8044226052.

The spelling of 654072 in words is "six hundred fifty-four thousand, seventy-two".