667073472 has 224 divisors, whose sum is σ = 2048256000. Its totient is φ = 189775872.

The previous prime is 667073453. The next prime is 667073479. The reversal of 667073472 is 274370766.

667073472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667073472² = 889974034092269568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667073479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352029 + ... + 3352227.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^667073472 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 667073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128000).

667073472 is an abundant number, since it is smaller than the sum of its proper divisors (1381182528).

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

667073472 is a wasteful number, since it uses less digits than its factorization.

667073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 667073472 is about 25827.7655247216. The cubic root of 667073472 is about 873.7581172023.

The spelling of 667073472 in words is "six hundred sixty-seven million, seventy-three thousand, four hundred seventy-two".