72264821 has 2 divisors, whose sum is σ = 72264822. Its totient is φ = 72264820.

The previous prime is 72264799. The next prime is 72264833. The reversal of 72264821 is 12846227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67486225 + 4778596 = 8215^2 + 2186^2 .

It is an emirp because it is prime and its reverse (12846227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72264821 - 2¹⁰ = 72263797 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72264121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36132410 + 36132411.

It is an arithmetic number, because the mean of its divisors is an integer number (36132411).

Almost surely, 2^72264821 is an apocalyptic number.

It is an amenable number.

72264821 is a deficient number, since it is larger than the sum of its proper divisors (1).

72264821 is an equidigital number, since it uses as much as digits as its factorization.

72264821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10752, while the sum is 32.

The square root of 72264821 is about 8500.8717788236. The cubic root of 72264821 is about 416.5261867400.

The spelling of 72264821 in words is "seventy-two million, two hundred sixty-four thousand, eight hundred twenty-one".