72508133 has 2 divisors, whose sum is σ = 72508134. Its totient is φ = 72508132.

The previous prime is 72508103. The next prime is 72508141. The reversal of 72508133 is 33180527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68674369 + 3833764 = 8287^2 + 1958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72508133 is a prime.

It is a super-2 number, since 2×72508133² = 10514858702291378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72508096 and 72508105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72508103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36254066 + 36254067.

It is an arithmetic number, because the mean of its divisors is an integer number (36254067).

Almost surely, 2^72508133 is an apocalyptic number.

It is an amenable number.

72508133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72508133 is an equidigital number, since it uses as much as digits as its factorization.

72508133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72508133 is about 8515.1707557747. The cubic root of 72508133 is about 416.9931372716.

The spelling of 72508133 in words is "seventy-two million, five hundred eight thousand, one hundred thirty-three".