72864401 has 2 divisors, whose sum is σ = 72864402. Its totient is φ = 72864400.

The previous prime is 72864377. The next prime is 72864461. The reversal of 72864401 is 10446827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63984001 + 8880400 = 7999^2 + 2980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72864401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72864461) 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, 36432200 + 36432201.

It is an arithmetic number, because the mean of its divisors is an integer number (36432201).

Almost surely, 2^72864401 is an apocalyptic number.

It is an amenable number.

72864401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72864401 is an equidigital number, since it uses as much as digits as its factorization.

72864401 is an odious number, because the sum of its binary digits is odd.

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

The square root of 72864401 is about 8536.0647256215. The cubic root of 72864401 is about 417.6749856323.

The spelling of 72864401 in words is "seventy-two million, eight hundred sixty-four thousand, four hundred one".