72505761627751 has 8 divisors (see below), whose sum is σ = 75006149328000. Its totient is φ = 70005386529120.

The previous prime is 72505761627713. The next prime is 72505761627763. The reversal of 72505761627751 is 15772616750527.

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

It is a cyclic number.

It is not a de Polignac number, because 72505761627751 - 2³⁷ = 72368322674279 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72505761627751.

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 7 ways as a sum of consecutive naturals, for example, 9403306 + ... + 15278536.

It is an arithmetic number, because the mean of its divisors is an integer number (9375768666000).

Almost surely, 2^{72505761627751} is an apocalyptic number.

72505761627751 is a deficient number, since it is larger than the sum of its proper divisors (2500387700249).

72505761627751 is a wasteful number, since it uses less digits than its factorization.

72505761627751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300809.

The product of its (nonzero) digits is 43218000, while the sum is 61.

The spelling of 72505761627751 in words is "seventy-two trillion, five hundred five billion, seven hundred sixty-one million, six hundred twenty-seven thousand, seven hundred fifty-one".