72416247345705 has 16 divisors (see below), whose sum is σ = 115866121509504. Its totient is φ = 38621956665600.

The previous prime is 72416247345703. The next prime is 72416247345719. The reversal of 72416247345705 is 50754374261427.

It is not a de Polignac number, because 72416247345705 - 2¹ = 72416247345703 is a prime.

It is a super-2 number, since 2×72416247345705² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72416247345703) 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 15 ways as a sum of consecutive naturals, for example, 15870817 + ... + 19917713.

It is an arithmetic number, because the mean of its divisors is an integer number (7241632594344).

Almost surely, 2^{72416247345705} is an apocalyptic number.

It is an amenable number.

72416247345705 is a deficient number, since it is larger than the sum of its proper divisors (43449874163799).

72416247345705 is a wasteful number, since it uses less digits than its factorization.

72416247345705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239856.

The product of its (nonzero) digits is 39513600, while the sum is 57.

The spelling of 72416247345705 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-seven million, three hundred forty-five thousand, seven hundred five".