72533 has 2 divisors, whose sum is σ = 72534. Its totient is φ = 72532.

The previous prime is 72503. The next prime is 72547. The reversal of 72533 is 33527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69169 + 3364 = 263^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 72533 - 2⁶ = 72469 is a prime.

It is a super-2 number, since 2×72533² = 10522072178, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72533.

It is not a weakly prime, because it can be changed into another prime (72503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36266 + 36267.

It is an arithmetic number, because the mean of its divisors is an integer number (36267).

2⁷²⁵³³ is an apocalyptic number.

It is an amenable number.

72533 is a deficient number, since it is larger than the sum of its proper divisors (1).

72533 is an equidigital number, since it uses as much as digits as its factorization.

72533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 20.

The square root of 72533 is about 269.3195128467. The cubic root of 72533 is about 41.7040801732.

The spelling of 72533 in words is "seventy-two thousand, five hundred thirty-three".