672489216 has 360 divisors, whose sum is σ = 2368374624. Its totient is φ = 185794560.

The previous prime is 672489199. The next prime is 672489227. The reversal of 672489216 is 612984276.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (189).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5951176 + ... + 5951288.

Almost surely, 2^672489216 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 672489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184187312).

672489216 is an abundant number, since it is smaller than the sum of its proper divisors (1695885408).

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

672489216 is a wasteful number, since it uses less digits than its factorization.

672489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 672489216 is about 25932.3970353687. The cubic root of 672489216 is about 876.1163290812.

The spelling of 672489216 in words is "six hundred seventy-two million, four hundred eighty-nine thousand, two hundred sixteen".