72835331 has 2 divisors, whose sum is σ = 72835332. Its totient is φ = 72835330.

The previous prime is 72835313. The next prime is 72835333. The reversal of 72835331 is 13353827.

Together with previous prime (72835313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72835331 - 2¹⁴ = 72818947 is a prime.

It is a super-2 number, since 2×72835331² = 10609970883759122, which contains 22 as substring.

Together with 72835333, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4274933 and since 72835331 and 4274933 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72835333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36417665 + 36417666.

It is an arithmetic number, because the mean of its divisors is an integer number (36417666).

Almost surely, 2^72835331 is an apocalyptic number.

72835331 is a deficient number, since it is larger than the sum of its proper divisors (1).

72835331 is an equidigital number, since it uses as much as digits as its factorization.

72835331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 32.

The square root of 72835331 is about 8534.3617804731. The cubic root of 72835331 is about 417.6194330043.

The spelling of 72835331 in words is "seventy-two million, eight hundred thirty-five thousand, three hundred thirty-one".