72537133 has 2 divisors, whose sum is σ = 72537134. Its totient is φ = 72537132.

The previous prime is 72537097. The next prime is 72537151. The reversal of 72537133 is 33173527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47155689 + 25381444 = 6867^2 + 5038^2 .

It is a cyclic number.

It is not a de Polignac number, because 72537133 - 2¹³ = 72528941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72537095 and 72537104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72537163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36268566 + 36268567.

It is an arithmetic number, because the mean of its divisors is an integer number (36268567).

Almost surely, 2^72537133 is an apocalyptic number.

It is an amenable number.

72537133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72537133 is an equidigital number, since it uses as much as digits as its factorization.

72537133 is an evil number, because the sum of its binary digits is even.

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

The square root of 72537133 is about 8516.8734286709. The cubic root of 72537133 is about 417.0487227103.

The spelling of 72537133 in words is "seventy-two million, five hundred thirty-seven thousand, one hundred thirty-three".