1672132800 has 336 divisors, whose sum is σ = 5982728192. Its totient is φ = 406425600.

The previous prime is 1672132799. The next prime is 1672132811. The reversal of 1672132800 is 82312761.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7924695 + ... + 7924905.

Almost surely, 2^1672132800 is an apocalyptic number.

1672132800 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 1672132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991364096).

1672132800 is an abundant number, since it is smaller than the sum of its proper divisors (4310595392).

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

1672132800 is a wasteful number, since it uses less digits than its factorization.

1672132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1672132800 is about 40891.7204333591. The cubic root of 1672132800 is about 1186.9258506093.

The spelling of 1672132800 in words is "one billion, six hundred seventy-two million, one hundred thirty-two thousand, eight hundred".