73416313100 has 72 divisors (see below), whose sum is σ = 171806482848. Its totient is φ = 27069926400.

The previous prime is 73416313097. The next prime is 73416313129. The reversal of 73416313100 is 131361437.

It is a super-2 number, since 2×73416313100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906260 + ... + 983940.

Almost surely, 2^73416313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73416313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85903241424).

73416313100 is an abundant number, since it is smaller than the sum of its proper divisors (98390169748).

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

73416313100 is a wasteful number, since it uses less digits than its factorization.

73416313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78435 (or 78428 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 73416313100 its reverse (131361437), we get a palindrome (73547674537).

The spelling of 73416313100 in words is "seventy-three billion, four hundred sixteen million, three hundred thirteen thousand, one hundred".