72005766024461 has 16 divisors (see below), whose sum is σ = 73251566676480. Its totient is φ = 70760815220160.

The previous prime is 72005766024431. The next prime is 72005766024551. The reversal of 72005766024461 is 16442066750027.

It is a cyclic number.

It is not a de Polignac number, because 72005766024461 - 2³⁰ = 72004692282637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005766024431) 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, 3888620975 + ... + 3888639491.

It is an arithmetic number, because the mean of its divisors is an integer number (4578222917280).

Almost surely, 2^{72005766024461} is an apocalyptic number.

It is an amenable number.

72005766024461 is a deficient number, since it is larger than the sum of its proper divisors (1245800652019).

72005766024461 is a wasteful number, since it uses less digits than its factorization.

72005766024461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37844.

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 72005766024461 in words is "seventy-two trillion, five billion, seven hundred sixty-six million, twenty-four thousand, four hundred sixty-one".