73201396736 has 176 divisors, whose sum is σ = 162697197600. Its totient is φ = 32699842560.

The previous prime is 73201396711. The next prime is 73201396759. The reversal of 73201396736 is 63769310237.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163031840 + ... + 163032288.

Almost surely, 2^73201396736 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 73201396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81348598800).

73201396736 is an abundant number, since it is smaller than the sum of its proper divisors (89495800864).

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

73201396736 is a wasteful number, since it uses less digits than its factorization.

73201396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 47.

The spelling of 73201396736 in words is "seventy-three billion, two hundred one million, three hundred ninety-six thousand, seven hundred thirty-six".