2732672000 has 176 divisors, whose sum is σ = 7013808048. Its totient is φ = 1061683200.

The previous prime is 2732671969. The next prime is 2732672009. The reversal of 2732672000 is 2762372.

It can be written as a sum of positive squares in 8 ways, for example, as 1982464 + 2730689536 = 1408^2 + 52256^2 .

It is not an unprimeable number, because it can be changed into a prime (2732672009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4735712 + ... + 4736288.

Almost surely, 2^2732672000 is an apocalyptic number.

2732672000 is a gapful number since it is divisible by the number (20) 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 2732672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506904024).

2732672000 is an abundant number, since it is smaller than the sum of its proper divisors (4281136048).

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

2732672000 is an equidigital number, since it uses as much as digits as its factorization.

2732672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 2732672000 is about 52274.9653275830. The cubic root of 2732672000 is about 1398.0708122049.

The spelling of 2732672000 in words is "two billion, seven hundred thirty-two million, six hundred seventy-two thousand".