73140114740 has 288 divisors, whose sum is σ = 200877449472. Its totient is φ = 21727180800.

The previous prime is 73140114739. The next prime is 73140114763. The reversal of 73140114740 is 4741104137.

It is a junction number, because it is equal to n+sod(n) for n = 73140114697 and 73140114706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108035282 + ... + 108035958.

It is an arithmetic number, because the mean of its divisors is an integer number (697491144).

Almost surely, 2^73140114740 is an apocalyptic number.

73140114740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73140114740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100438724736).

73140114740 is an abundant number, since it is smaller than the sum of its proper divisors (127737334732).

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

73140114740 is a wasteful number, since it uses less digits than its factorization.

73140114740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 73140114740 its reverse (4741104137), we get a palindrome (77881218877).

The spelling of 73140114740 in words is "seventy-three billion, one hundred forty million, one hundred fourteen thousand, seven hundred forty".