72727200272727 has 256 divisors, whose sum is σ = 153696362803200. Its totient is φ = 32761566996480.

The previous prime is 72727200272717. The next prime is 72727200272747.

72727200272727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72727200272727 - 2³⁴ = 72710020403543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727200272707) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27746053 + ... + 30253889.

It is an arithmetic number, because the mean of its divisors is an integer number (600376417200).

Almost surely, 2^{72727200272727} is an apocalyptic number.

72727200272727 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72727200272727 is an abundant number, since it is smaller than the sum of its proper divisors (80969162530473).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72727200272727 is a wasteful number, since it uses less digits than its factorization.

72727200272727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507943 (or 2507937 counting only the distinct ones).

The product of its (nonzero) digits is 7529536, while the sum is 54.

It can be divided in two parts, 72727200 and 272727, that added together give a palindrome (72999927).

The spelling of 72727200272727 in words is "seventy-two trillion, seven hundred twenty-seven billion, two hundred million, two hundred seventy-two thousand, seven hundred twenty-seven".