73024741218 has 96 divisors (see below), whose sum is σ = 176145617088. Its totient is φ = 20040958080.

The previous prime is 73024741217. The next prime is 73024741243. The reversal of 73024741218 is 81214742037.

It is a super-2 number, since 2×73024741218² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (73024741211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427221 + ... + 573207.

It is an arithmetic number, because the mean of its divisors is an integer number (1834850178).

Almost surely, 2^73024741218 is an apocalyptic number.

73024741218 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73024741218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88072808544).

73024741218 is an abundant number, since it is smaller than the sum of its proper divisors (103120875870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73024741218 is a wasteful number, since it uses less digits than its factorization.

73024741218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146080 (or 146069 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 73024741218 in words is "seventy-three billion, twenty-four million, seven hundred forty-one thousand, two hundred eighteen".