72003012113311 has 16 divisors (see below), whose sum is σ = 79807363798464. Its totient is φ = 64614029635584.

The previous prime is 72003012113293. The next prime is 72003012113323. The reversal of 72003012113311 is 11331121030027.

It is a cyclic number.

It is not a de Polignac number, because 72003012113311 - 2⁹ = 72003012112799 is a prime.

It is a super-2 number, since 2×72003012113311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72003012110311) 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, 294048426 + ... + 294293191.

It is an arithmetic number, because the mean of its divisors is an integer number (4987960237404).

Almost surely, 2^{72003012113311} is an apocalyptic number.

72003012113311 is a deficient number, since it is larger than the sum of its proper divisors (7804351685153).

72003012113311 is a wasteful number, since it uses less digits than its factorization.

72003012113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588341970.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 72003012113311 its reverse (11331121030027), we get a palindrome (83334133143338).

The spelling of 72003012113311 in words is "seventy-two trillion, three billion, twelve million, one hundred thirteen thousand, three hundred eleven".