72334905816 has 64 divisors (see below), whose sum is σ = 185368360320. Its totient is φ = 23509463040.

The previous prime is 72334905793. The next prime is 72334905889. The reversal of 72334905816 is 61850943327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527896 + ... + 650648.

It is an arithmetic number, because the mean of its divisors is an integer number (2896380630).

It is a 1-persistent number, because it is pandigital, but 2⋅72334905816 = 144669811632 is not.

Almost surely, 2^72334905816 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 72334905816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92684180160).

72334905816 is an abundant number, since it is smaller than the sum of its proper divisors (113033454504).

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

72334905816 is a wasteful number, since it uses less digits than its factorization.

72334905816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123376 (or 123372 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 72334905816 in words is "seventy-two billion, three hundred thirty-four million, nine hundred five thousand, eight hundred sixteen".