72083563860 has 288 divisors, whose sum is σ = 257780251008. Its totient is φ = 14881950720.

The previous prime is 72083563847. The next prime is 72083563889. The reversal of 72083563860 is 6836538027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5070282 + ... + 5084478.

It is an arithmetic number, because the mean of its divisors is an integer number (895070316).

Almost surely, 2^72083563860 is an apocalyptic number.

72083563860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72083563860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128890125504).

72083563860 is an abundant number, since it is smaller than the sum of its proper divisors (185696687148).

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

72083563860 is a wasteful number, since it uses less digits than its factorization.

72083563860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14391 (or 14382 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 72083563860 in words is "seventy-two billion, eighty-three million, five hundred sixty-three thousand, eight hundred sixty".