672924672 has 440 divisors, whose sum is σ = 2457055040. Its totient is φ = 179159040.

The previous prime is 672924667. The next prime is 672924701. The reversal of 672924672 is 276429276.

It is a super-2 number, since 2×672924672² = 905655228372615168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11031522 + ... + 11031582.

It is an arithmetic number, because the mean of its divisors is an integer number (5584216).

Almost surely, 2^672924672 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 672924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228527520).

672924672 is an abundant number, since it is smaller than the sum of its proper divisors (1784130368).

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

672924672 is a wasteful number, since it uses less digits than its factorization.

672924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 672924672 is about 25940.7916610114. The cubic root of 672924672 is about 876.3053917390.

The spelling of 672924672 in words is "six hundred seventy-two million, nine hundred twenty-four thousand, six hundred seventy-two".