73572133 has 2 divisors, whose sum is σ = 73572134. Its totient is φ = 73572132.

The previous prime is 73572127. The next prime is 73572139. The reversal of 73572133 is 33127537.

It is a balanced prime because it is at equal distance from previous prime (73572127) and next prime (73572139).

It can be written as a sum of positive squares in only one way, i.e., 39664804 + 33907329 = 6298^2 + 5823^2 .

It is a cyclic number.

It is not a de Polignac number, because 73572133 - 2²⁵ = 40017701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73572095 and 73572104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73572139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36786066 + 36786067.

It is an arithmetic number, because the mean of its divisors is an integer number (36786067).

Almost surely, 2^73572133 is an apocalyptic number.

It is an amenable number.

73572133 is a deficient number, since it is larger than the sum of its proper divisors (1).

73572133 is an equidigital number, since it uses as much as digits as its factorization.

73572133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 31.

The square root of 73572133 is about 8577.4199500782. The cubic root of 73572133 is about 419.0229233514.

The spelling of 73572133 in words is "seventy-three million, five hundred seventy-two thousand, one hundred thirty-three".