133072 has 10 divisors (see below), whose sum is σ = 257858. Its totient is φ = 66528.

The previous prime is 133069. The next prime is 133073. The reversal of 133072 is 270331.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 576 = 364^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 8317 = 133072 / (1 + 3 + 3 + 0 + 7 + 2).

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4143 + ... + 4174.

2¹³³⁰⁷² is an apocalyptic number.

It is an amenable number.

133072 is a deficient number, since it is larger than the sum of its proper divisors (124786).

133072 is an equidigital number, since it uses as much as digits as its factorization.

133072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 133072 is about 364.7903507496. The cubic root of 133072 is about 51.0538966297.

The spelling of 133072 in words is "one hundred thirty-three thousand, seventy-two".