72727655672727 has 48 divisors (see below), whose sum is σ = 115084430173440. Its totient is φ = 43891809350400.

The previous prime is 72727655672663. The next prime is 72727655672731.

72727655672727 is a `hidden beast` number, since 7 + 2 + 7 + 27 + 6 + 556 + 7 + 27 + 27 = 666.

72727655672727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72727655672727 - 2⁶ = 72727655672663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727655673727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26170543 + ... + 28815839.

It is an arithmetic number, because the mean of its divisors is an integer number (2397592295280).

Almost surely, 2^{72727655672727} is an apocalyptic number.

72727655672727 is a deficient number, since it is larger than the sum of its proper divisors (42356774500713).

72727655672727 is a wasteful number, since it uses less digits than its factorization.

72727655672727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646484 (or 2646481 counting only the distinct ones).

The product of its digits is 1694145600, while the sum is 72.

The spelling of 72727655672727 in words is "seventy-two trillion, seven hundred twenty-seven billion, six hundred fifty-five million, six hundred seventy-two thousand, seven hundred twenty-seven".