72833053 has 2 divisors, whose sum is σ = 72833054. Its totient is φ = 72833052.

The previous prime is 72833021. The next prime is 72833069. The reversal of 72833053 is 35033827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72539289 + 293764 = 8517^2 + 542^2 .

It is a cyclic number.

It is not a de Polignac number, because 72833053 - 2⁵ = 72833021 is a prime.

It is equal to p_4274806 and since 72833053 and 4274806 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72833003) 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, 36416526 + 36416527.

It is an arithmetic number, because the mean of its divisors is an integer number (36416527).

Almost surely, 2^72833053 is an apocalyptic number.

It is an amenable number.

72833053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72833053 is an equidigital number, since it uses as much as digits as its factorization.

72833053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72833053 is about 8534.2283189519. The cubic root of 72833053 is about 417.6150791330.

The spelling of 72833053 in words is "seventy-two million, eight hundred thirty-three thousand, fifty-three".