133027072 has 36 divisors (see below), whose sum is σ = 267109920. Its totient is φ = 66119168.

The previous prime is 133027067. The next prime is 133027109. The reversal of 133027072 is 270720331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44373 + ... + 47275.

It is an arithmetic number, because the mean of its divisors is an integer number (7419720).

Almost surely, 2^133027072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133554960).

133027072 is an abundant number, since it is smaller than the sum of its proper divisors (134082848).

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

133027072 is an equidigital number, since it uses as much as digits as its factorization.

133027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 133027072 is about 11533.7362550043. The cubic root of 133027072 is about 510.4815034789.

The spelling of 133027072 in words is "one hundred thirty-three million, twenty-seven thousand, seventy-two".