72786716775 has 192 divisors, whose sum is σ = 147140582400. Its totient is φ = 35126784000.

The previous prime is 72786716771. The next prime is 72786716797. The reversal of 72786716775 is 57761768727.

It is not a de Polignac number, because 72786716775 - 2² = 72786716771 is a prime.

It is a super-2 number, since 2×72786716775² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786716771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33402636 + ... + 33404814.

It is an arithmetic number, because the mean of its divisors is an integer number (766357200).

Almost surely, 2^72786716775 is an apocalyptic number.

72786716775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72786716775 is an abundant number, since it is smaller than the sum of its proper divisors (74353865625).

72786716775 is a wasteful number, since it uses less digits than its factorization.

72786716775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2316 counting only the distinct ones).

The product of its digits is 48404160, while the sum is 63.

The spelling of 72786716775 in words is "seventy-two billion, seven hundred eighty-six million, seven hundred sixteen thousand, seven hundred seventy-five".