72105401 has 2 divisors, whose sum is σ = 72105402. Its totient is φ = 72105400.

The previous prime is 72105343. The next prime is 72105419. The reversal of 72105401 is 10450127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56265001 + 15840400 = 7501^2 + 3980^2 .

It is a cyclic number.

It is not a de Polignac number, because 72105401 - 2¹⁸ = 71843257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72105431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36052700 + 36052701.

It is an arithmetic number, because the mean of its divisors is an integer number (36052701).

Almost surely, 2^72105401 is an apocalyptic number.

It is an amenable number.

72105401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72105401 is an equidigital number, since it uses as much as digits as its factorization.

72105401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 72105401 is about 8491.4899163810. The cubic root of 72105401 is about 416.2196683312.

Adding to 72105401 its reverse (10450127), we get a palindrome (82555528).

The spelling of 72105401 in words is "seventy-two million, one hundred five thousand, four hundred one".