72313469280 has 240 divisors, whose sum is σ = 274838178384. Its totient is φ = 17800197120.

The previous prime is 72313469231. The next prime is 72313469287. The reversal of 72313469280 is 8296431327.

72313469280 is a `hidden beast` number, since 7 + 23 + 1 + 346 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313469287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46126 + ... + 383085.

Almost surely, 2^72313469280 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 72313469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137419089192).

72313469280 is an abundant number, since it is smaller than the sum of its proper divisors (202524709104).

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

72313469280 is a wasteful number, since it uses less digits than its factorization.

72313469280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429251 (or 429234 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72313469280 in words is "seventy-two billion, three hundred thirteen million, four hundred sixty-nine thousand, two hundred eighty".