72407347025201 has 2 divisors, whose sum is σ = 72407347025202. Its totient is φ = 72407347025200.

The previous prime is 72407347025179. The next prime is 72407347025207. The reversal of 72407347025201 is 10252074370427.

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., 50278366844176 + 22128980181025 = 7090724^2 + 4704145^2 .

It is an emirp because it is prime and its reverse (10252074370427) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72407347025201 is a prime.

It is not a weakly prime, because it can be changed into another prime (72407347025207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36203673512600 + 36203673512601.

It is an arithmetic number, because the mean of its divisors is an integer number (36203673512601).

Almost surely, 2^{72407347025201} is an apocalyptic number.

It is an amenable number.

72407347025201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72407347025201 is an equidigital number, since it uses as much as digits as its factorization.

72407347025201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 72407347025201 in words is "seventy-two trillion, four hundred seven billion, three hundred forty-seven million, twenty-five thousand, two hundred one".