72129601 has 2 divisors, whose sum is σ = 72129602. Its totient is φ = 72129600.

The previous prime is 72129571. The next prime is 72129647. The reversal of 72129601 is 10692127.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 24850225 = 6876^2 + 4985^2 .

It is an emirp because it is prime and its reverse (10692127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72129601 - 2⁵ = 72129569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72129601.

It is not a weakly prime, because it can be changed into another prime (72129671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36064800 + 36064801.

It is an arithmetic number, because the mean of its divisors is an integer number (36064801).

Almost surely, 2^72129601 is an apocalyptic number.

It is an amenable number.

72129601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72129601 is an equidigital number, since it uses as much as digits as its factorization.

72129601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 72129601 is about 8492.9147528984. The cubic root of 72129601 is about 416.2662269764.

The spelling of 72129601 in words is "seventy-two million, one hundred twenty-nine thousand, six hundred one".