72305402880 has 352 divisors, whose sum is σ = 245777558400. Its totient is φ = 18091081728.

The previous prime is 72305402879. The next prime is 72305402891. The reversal of 72305402880 is 8820450327.

It is a super-2 number, since 2×72305402880² (a number of 23 digits) contains 22 as substring.

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, 31809424 + ... + 31811696.

It is an arithmetic number, because the mean of its divisors is an integer number (698231700).

Almost surely, 2^72305402880 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 72305402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122888779200).

72305402880 is an abundant number, since it is smaller than the sum of its proper divisors (173472155520).

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

72305402880 is a wasteful number, since it uses less digits than its factorization.

72305402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 72305402880 in words is "seventy-two billion, three hundred five million, four hundred two thousand, eight hundred eighty".