72238360480 has 144 divisors (see below), whose sum is σ = 201601812384. Its totient is φ = 24247741440.

The previous prime is 72238360459. The next prime is 72238360507. The reversal of 72238360480 is 8406383227.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176007 + ... + 418873.

It is an arithmetic number, because the mean of its divisors is an integer number (1400012586).

Almost surely, 2^72238360480 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 72238360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800906192).

72238360480 is an abundant number, since it is smaller than the sum of its proper divisors (129363451904).

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

72238360480 is a wasteful number, since it uses less digits than its factorization.

72238360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242919 (or 242898 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 72238360480 in words is "seventy-two billion, two hundred thirty-eight million, three hundred sixty thousand, four hundred eighty".