672035328 has 240 divisors, whose sum is σ = 2068260480. Its totient is φ = 209707008.

The previous prime is 672035323. The next prime is 672035333. The reversal of 672035328 is 823530276.

It is an interprime number because it is at equal distance from previous prime (672035323) and next prime (672035333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 672035292 and 672035301.

It is not an unprimeable number, because it can be changed into a prime (672035323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6280651 + ... + 6280757.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^672035328 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 672035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034130240).

672035328 is an abundant number, since it is smaller than the sum of its proper divisors (1396225152).

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

672035328 is a wasteful number, since it uses less digits than its factorization.

672035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 672035328 is about 25923.6441882695. The cubic root of 672035328 is about 875.9191768805.

The spelling of 672035328 in words is "six hundred seventy-two million, thirty-five thousand, three hundred twenty-eight".