72513813463 has 64 divisors (see below), whose sum is σ = 97704714240. Its totient is φ = 52171776000.

The previous prime is 72513813457. The next prime is 72513813473. The reversal of 72513813463 is 36431831527.

It is a de Polignac number, because none of the positive numbers 2^k-72513813463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513813413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57595728 + ... + 57596986.

It is an arithmetic number, because the mean of its divisors is an integer number (1526636160).

Almost surely, 2^72513813463 is an apocalyptic number.

72513813463 is a deficient number, since it is larger than the sum of its proper divisors (25190900777).

72513813463 is a wasteful number, since it uses less digits than its factorization.

72513813463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528.

The product of its digits is 362880, while the sum is 43.

The spelling of 72513813463 in words is "seventy-two billion, five hundred thirteen million, eight hundred thirteen thousand, four hundred sixty-three".