73038417705 has 24 divisors (see below), whose sum is σ = 138109008960. Its totient is φ = 35412565920.

The previous prime is 73038417701. The next prime is 73038417713. The reversal of 73038417705 is 50771483037.

It is not a de Polignac number, because 73038417705 - 2² = 73038417701 is a prime.

It is a super-2 number, since 2×73038417705² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73038417701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73775685 + ... + 73776674.

It is an arithmetic number, because the mean of its divisors is an integer number (5754542040).

Almost surely, 2^73038417705 is an apocalyptic number.

It is an amenable number.

73038417705 is a deficient number, since it is larger than the sum of its proper divisors (65070591255).

73038417705 is a wasteful number, since it uses less digits than its factorization.

73038417705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147552381 (or 147552378 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 73038417705 in words is "seventy-three billion, thirty-eight million, four hundred seventeen thousand, seven hundred five".