72505761627741 has 32 divisors (see below), whose sum is σ = 105103034171520. Its totient is φ = 44193991682304.

The previous prime is 72505761627713. The next prime is 72505761627763. The reversal of 72505761627741 is 14772616750527.

It is not a de Polignac number, because 72505761627741 - 2¹³ = 72505761619549 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72505761627701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9054066 + ... + 15066108.

It is an arithmetic number, because the mean of its divisors is an integer number (3284469817860).

Almost surely, 2^{72505761627741} is an apocalyptic number.

It is an amenable number.

72505761627741 is a deficient number, since it is larger than the sum of its proper divisors (32597272543779).

72505761627741 is a wasteful number, since it uses less digits than its factorization.

72505761627741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015005.

The product of its (nonzero) digits is 34574400, while the sum is 60.

The spelling of 72505761627741 in words is "seventy-two trillion, five hundred five billion, seven hundred sixty-one million, six hundred twenty-seven thousand, seven hundred forty-one".