72411201460349 has 2 divisors, whose sum is σ = 72411201460350. Its totient is φ = 72411201460348.

The previous prime is 72411201460319. The next prime is 72411201460361. The reversal of 72411201460349 is 94306410211427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67519664191225 + 4891537269124 = 8217035^2 + 2211682^2 .

It is a cyclic number.

It is not a de Polignac number, because 72411201460349 - 2²⁰ = 72411200411773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72411201460319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36205600730174 + 36205600730175.

It is an arithmetic number, because the mean of its divisors is an integer number (36205600730175).

Almost surely, 2^{72411201460349} is an apocalyptic number.

It is an amenable number.

72411201460349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72411201460349 is an equidigital number, since it uses as much as digits as its factorization.

72411201460349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 72411201460349 in words is "seventy-two trillion, four hundred eleven billion, two hundred one million, four hundred sixty thousand, three hundred forty-nine".