72505761527751 has 8 divisors (see below), whose sum is σ = 96674447580144. Its totient is φ = 48337124913600.

The previous prime is 72505761527729. The next prime is 72505761527809. The reversal of 72505761527751 is 15772516750527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72505761527751 - 2²⁶ = 72505694418887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72505761527851) 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 7 ways as a sum of consecutive naturals, for example, 8790256 + ... + 14909061.

It is an arithmetic number, because the mean of its divisors is an integer number (12084305947518).

Almost surely, 2^{72505761527751} is an apocalyptic number.

72505761527751 is a deficient number, since it is larger than the sum of its proper divisors (24168686052393).

72505761527751 is a wasteful number, since it uses less digits than its factorization.

72505761527751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24719121.

The product of its (nonzero) digits is 36015000, while the sum is 60.

The spelling of 72505761527751 in words is "seventy-two trillion, five hundred five billion, seven hundred sixty-one million, five hundred twenty-seven thousand, seven hundred fifty-one".