672735360 has 256 divisors, whose sum is σ = 2387387520. Its totient is φ = 159744000.

The previous prime is 672735341. The next prime is 672735367. The reversal of 672735360 is 63537276.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (672735367) 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 31 ways as a sum of consecutive naturals, for example, 1119060 + ... + 1119660.

Almost surely, 2^672735360 is an apocalyptic number.

672735360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193693760).

672735360 is an abundant number, since it is smaller than the sum of its proper divisors (1714652160).

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

672735360 is a wasteful number, since it uses less digits than its factorization.

672735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 39.

The square root of 672735360 is about 25937.1424794637. The cubic root of 672735360 is about 876.2232078570.

The spelling of 672735360 in words is "six hundred seventy-two million, seven hundred thirty-five thousand, three hundred sixty".