672730368 has 72 divisors (see below), whose sum is σ = 1802611776. Its totient is φ = 222720000.

The previous prime is 672730367. The next prime is 672730369. The reversal of 672730368 is 863037276.

It is an interprime number because it is at equal distance from previous prime (672730367) and next prime (672730369).

It is a super-3 number, since 3×672730368³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672730363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113068 + ... + 118868.

Almost surely, 2^672730368 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 672730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901305888).

672730368 is an abundant number, since it is smaller than the sum of its proper divisors (1129881408).

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

672730368 is a wasteful number, since it uses less digits than its factorization.

672730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 672730368 is about 25937.0462466334. The cubic root of 672730368 is about 876.2210405277.

The spelling of 672730368 in words is "six hundred seventy-two million, seven hundred thirty thousand, three hundred sixty-eight".