73508736 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 18923520.

The previous prime is 73508711. The next prime is 73508741. The reversal of 73508736 is 63780537.

It is a junction number, because it is equal to n+sod(n) for n = 73508694 and 73508703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792876 + ... + 1792916.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^73508736 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 73508736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

73508736 is an abundant number, since it is smaller than the sum of its proper divisors (173249664).

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

73508736 is a wasteful number, since it uses less digits than its factorization.

73508736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 73508736 is about 8573.7235784693. The cubic root of 73508736 is about 418.9025316164.

The spelling of 73508736 in words is "seventy-three million, five hundred eight thousand, seven hundred thirty-six".