72406631702753 has 16 divisors (see below), whose sum is σ = 76725263001600. Its totient is φ = 68236234410240.

The previous prime is 72406631702749. The next prime is 72406631702767. The reversal of 72406631702753 is 35720713660427.

It is a cyclic number.

It is not a de Polignac number, because 72406631702753 - 2² = 72406631702749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72406631702695 and 72406631702704.

It is not an unprimeable number, because it can be changed into a prime (72406631702773) 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, 202326668 + ... + 202684221.

It is an arithmetic number, because the mean of its divisors is an integer number (4795328937600).

Almost surely, 2^{72406631702753} is an apocalyptic number.

72406631702753 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72406631702753 is a deficient number, since it is larger than the sum of its proper divisors (4318631298847).

72406631702753 is a wasteful number, since it uses less digits than its factorization.

72406631702753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405011072.

The product of its (nonzero) digits is 8890560, while the sum is 53.

The spelling of 72406631702753 in words is "seventy-two trillion, four hundred six billion, six hundred thirty-one million, seven hundred two thousand, seven hundred fifty-three".