132772000 has 96 divisors (see below), whose sum is σ = 343586880. Its totient is φ = 50284800.

The previous prime is 132771983. The next prime is 132772027. The reversal of 132772000 is 277231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75127 + ... + 76873.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030).

Almost surely, 2^132772000 is an apocalyptic number.

132772000 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 132772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171793440).

132772000 is an abundant number, since it is smaller than the sum of its proper divisors (210814880).

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

132772000 is a wasteful number, since it uses less digits than its factorization.

132772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 132772000 is about 11522.6733009315. The cubic root of 132772000 is about 510.1550214377.

The spelling of 132772000 in words is "one hundred thirty-two million, seven hundred seventy-two thousand".