72416247345761 has 64 divisors (see below), whose sum is σ = 84078217728000. Its totient is φ = 61641908889600.

The previous prime is 72416247345719. The next prime is 72416247345773. The reversal of 72416247345761 is 16754374261427.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72416247345761 is a prime.

It is a super-2 number, since 2×72416247345761² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72416247345761.

It is not an unprimeable number, because it can be changed into a prime (72416247345791) 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 63 ways as a sum of consecutive naturals, for example, 74579039006 + ... + 74579039976.

It is an arithmetic number, because the mean of its divisors is an integer number (1313722152000).

Almost surely, 2^{72416247345761} is an apocalyptic number.

It is an amenable number.

72416247345761 is a deficient number, since it is larger than the sum of its proper divisors (11661970382239).

72416247345761 is a wasteful number, since it uses less digits than its factorization.

72416247345761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230.

The product of its digits is 47416320, while the sum is 59.

The spelling of 72416247345761 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-seven million, three hundred forty-five thousand, seven hundred sixty-one".