73286312436 has 96 divisors (see below), whose sum is σ = 194011614720. Its totient is φ = 23915219328.

The previous prime is 73286312423. The next prime is 73286312447. The reversal of 73286312436 is 63421368237.

73286312436 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 631 + 2 + 4 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73286312391 and 73286312400.

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, 2636386 + ... + 2664038.

It is an arithmetic number, because the mean of its divisors is an integer number (2020954320).

Almost surely, 2^73286312436 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 73286312436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97005807360).

73286312436 is an abundant number, since it is smaller than the sum of its proper divisors (120725302284).

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

73286312436 is a wasteful number, since it uses less digits than its factorization.

73286312436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28182 (or 28174 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 73286312436 in words is "seventy-three billion, two hundred eighty-six million, three hundred twelve thousand, four hundred thirty-six".