72063821 has 2 divisors, whose sum is σ = 72063822. Its totient is φ = 72063820.

The previous prime is 72063787. The next prime is 72063851. The reversal of 72063821 is 12836027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69122596 + 2941225 = 8314^2 + 1715^2 .

It is an emirp because it is prime and its reverse (12836027) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72063821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72063851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36031910 + 36031911.

It is an arithmetic number, because the mean of its divisors is an integer number (36031911).

Almost surely, 2^72063821 is an apocalyptic number.

It is an amenable number.

72063821 is a deficient number, since it is larger than the sum of its proper divisors (1).

72063821 is an equidigital number, since it uses as much as digits as its factorization.

72063821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72063821 is about 8489.0412297267. The cubic root of 72063821 is about 416.1396477815.

Adding to 72063821 its reverse (12836027), we get a palindrome (84899848).

The spelling of 72063821 in words is "seventy-two million, sixty-three thousand, eight hundred twenty-one".