132672000 has 160 divisors (see below), whose sum is σ = 441739584. Its totient is φ = 35328000.

The previous prime is 132671999. The next prime is 132672019. The reversal of 132672000 is 276231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191655 + ... + 192345.

Almost surely, 2^132672000 is an apocalyptic number.

132672000 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 132672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220869792).

132672000 is an abundant number, since it is smaller than the sum of its proper divisors (309067584).

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

132672000 is an frugal number, since it uses more digits than its factorization.

132672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

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

The square root of 132672000 is about 11518.3332127526. Note that the first 3 decimals coincide. The cubic root of 132672000 is about 510.0269113058.

The spelling of 132672000 in words is "one hundred thirty-two million, six hundred seventy-two thousand".