72543442608 has 480 divisors, whose sum is σ = 258530702976. Its totient is φ = 18477268992.

The previous prime is 72543442577. The next prime is 72543442637. The reversal of 72543442608 is 80624434527.

It is a happy number.

72543442608 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 34 + 4 + 2 + 608 = 666.

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, 76120660 + ... + 76121612.

Almost surely, 2^72543442608 is an apocalyptic number.

72543442608 is a gapful number since it is divisible by the number (78) 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 72543442608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129265351488).

72543442608 is an abundant number, since it is smaller than the sum of its proper divisors (185987260368).

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

72543442608 is a wasteful number, since it uses less digits than its factorization.

72543442608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 72543442608 in words is "seventy-two billion, five hundred forty-three million, four hundred forty-two thousand, six hundred eight".