1672320000 has 440 divisors, whose sum is σ = 6087876256. Its totient is φ = 405504000.

The previous prime is 1672319983. The next prime is 1672320011. The reversal of 1672320000 is 232761.

It is a happy number.

It is a congruent number.

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, 24959967 + ... + 24960033.

Almost surely, 2^1672320000 is an apocalyptic number.

1672320000 is a gapful number since it is divisible by the number (10) 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 1672320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043938128).

1672320000 is an abundant number, since it is smaller than the sum of its proper divisors (4415556256).

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

1672320000 is an equidigital number, since it uses as much as digits as its factorization.

1672320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1672320000 is about 40894.0093412226. The cubic root of 1672320000 is about 1186.9701421927.

Adding to 1672320000 its reverse (232761), we get a palindrome (1672552761).

The spelling of 1672320000 in words is "one billion, six hundred seventy-two million, three hundred twenty thousand".