72001022001331 has 16 divisors (see below), whose sum is σ = 73077371136000. Its totient is φ = 70928937020448.

The previous prime is 72001022001287. The next prime is 72001022001343. The reversal of 72001022001331 is 13310022010027.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72001022001331 - 2⁹ = 72001022000819 is a prime.

It is a super-3 number, since 3×72001022001331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72001022001631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79665090 + ... + 80563816.

It is an arithmetic number, because the mean of its divisors is an integer number (4567335696000).

Almost surely, 2^{72001022001331} is an apocalyptic number.

72001022001331 is a deficient number, since it is larger than the sum of its proper divisors (1076349134669).

72001022001331 is a wasteful number, since it uses less digits than its factorization.

72001022001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901098.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 72001022001331 its reverse (13310022010027), we get a palindrome (85311044011358).

The spelling of 72001022001331 in words is "seventy-two trillion, one billion, twenty-two million, one thousand, three hundred thirty-one".