654000072 has 128 divisors (see below), whose sum is σ = 1861263360. Its totient is φ = 189745920.

The previous prime is 654000071. The next prime is 654000079. The reversal of 654000072 is 270000456.

It is a happy number.

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 (654000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601113 + ... + 602199.

It is an arithmetic number, because the mean of its divisors is an integer number (14541120).

Almost surely, 2^654000072 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 654000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930631680).

654000072 is an abundant number, since it is smaller than the sum of its proper divisors (1207263288).

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

654000072 is a wasteful number, since it uses less digits than its factorization.

654000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

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

The square root of 654000072 is about 25573.4251128002. The cubic root of 654000072 is about 868.0124054093.

The spelling of 654000072 in words is "six hundred fifty-four million, seventy-two", and thus it is an aban number.