72803681 has 2 divisors, whose sum is σ = 72803682. Its totient is φ = 72803680.

The previous prime is 72803677. The next prime is 72803711. The reversal of 72803681 is 18630827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70291456 + 2512225 = 8384^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 72803681 - 2² = 72803677 is a prime.

It is a super-2 number, since 2×72803681² = 10600751934299522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72803281) 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, 36401840 + 36401841.

It is an arithmetic number, because the mean of its divisors is an integer number (36401841).

Almost surely, 2^72803681 is an apocalyptic number.

It is an amenable number.

72803681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72803681 is an equidigital number, since it uses as much as digits as its factorization.

72803681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 72803681 is about 8532.5073102811. The cubic root of 72803681 is about 417.5589331989.

The spelling of 72803681 in words is "seventy-two million, eight hundred three thousand, six hundred eighty-one".