72411132300201 has 12 divisors (see below), whose sum is σ = 105171724386820. Its totient is φ = 48007380529440.

The previous prime is 72411132300193. The next prime is 72411132300209. The reversal of 72411132300201 is 10200323111427.

72411132300201 is a `hidden beast` number, since 7 + 2 + 41 + 113 + 2 + 300 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (72411132300193) and next prime (72411132300209).

It can be written as a sum of positive squares in 2 ways, for example, as 2006883056025 + 70404249244176 = 1416645^2 + 8390724^2 .

It is not a de Polignac number, because 72411132300201 - 2³ = 72411132300193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72411132300209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22225637506 + ... + 22225640763.

Almost surely, 2^{72411132300201} is an apocalyptic number.

It is an amenable number.

72411132300201 is a deficient number, since it is larger than the sum of its proper divisors (32760592086619).

72411132300201 is a wasteful number, since it uses less digits than its factorization.

72411132300201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44451278456 (or 44451278453 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 72411132300201 its reverse (10200323111427), we get a palindrome (82611455411628).

The spelling of 72411132300201 in words is "seventy-two trillion, four hundred eleven billion, one hundred thirty-two million, three hundred thousand, two hundred one".