72805331 has 2 divisors, whose sum is σ = 72805332. Its totient is φ = 72805330.

The previous prime is 72805319. The next prime is 72805363. The reversal of 72805331 is 13350827.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72805331 - 2¹⁸ = 72543187 is a prime.

It is a super-2 number, since 2×72805331² = 10601232444039122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72805294 and 72805303.

It is not a weakly prime, because it can be changed into another prime (72805301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36402665 + 36402666.

It is an arithmetic number, because the mean of its divisors is an integer number (36402666).

Almost surely, 2^72805331 is an apocalyptic number.

72805331 is a deficient number, since it is larger than the sum of its proper divisors (1).

72805331 is an equidigital number, since it uses as much as digits as its factorization.

72805331 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 72805331 is about 8532.6039987802. The cubic root of 72805331 is about 417.5620876504.

The spelling of 72805331 in words is "seventy-two million, eight hundred five thousand, three hundred thirty-one".