72653560408 has 96 divisors (see below), whose sum is σ = 161522988480. Its totient is φ = 30433075200.

The previous prime is 72653560387. The next prime is 72653560439. The reversal of 72653560408 is 80406535627.

It is a congruent number.

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, 8061841 + ... + 8070847.

It is an arithmetic number, because the mean of its divisors is an integer number (1682531130).

Almost surely, 2^72653560408 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 72653560408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80761494240).

72653560408 is an abundant number, since it is smaller than the sum of its proper divisors (88869428072).

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

72653560408 is a wasteful number, since it uses less digits than its factorization.

72653560408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 72653560408 in words is "seventy-two billion, six hundred fifty-three million, five hundred sixty thousand, four hundred eight".