72725652727 has 16 divisors (see below), whose sum is σ = 94219471360. Its totient is φ = 54512691552.

The previous prime is 72725652653. The next prime is 72725652749.

72725652727 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72725652727 - 2¹⁹ = 72725128439 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72725655727) 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, 21029403 + ... + 21032860.

It is an arithmetic number, because the mean of its divisors is an integer number (5888716960).

Almost surely, 2^72725652727 is an apocalyptic number.

72725652727 is a deficient number, since it is larger than the sum of its proper divisors (21493818633).

72725652727 is a wasteful number, since it uses less digits than its factorization.

72725652727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42062302.

The product of its digits is 5762400, while the sum is 52.

The spelling of 72725652727 in words is "seventy-two billion, seven hundred twenty-five million, six hundred fifty-two thousand, seven hundred twenty-seven".