72114409536 has 112 divisors (see below), whose sum is σ = 206064453504. Its totient is φ = 22125920256.

The previous prime is 72114409531. The next prime is 72114409603. The reversal of 72114409536 is 63590441127.

It is not an unprimeable number, because it can be changed into a prime (72114409531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840165 + ... + 922011.

It is an arithmetic number, because the mean of its divisors is an integer number (1839861192).

Almost surely, 2^72114409536 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 72114409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103032226752).

72114409536 is an abundant number, since it is smaller than the sum of its proper divisors (133950043968).

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

72114409536 is a wasteful number, since it uses less digits than its factorization.

72114409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82228 (or 82218 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 72114409536 in words is "seventy-two billion, one hundred fourteen million, four hundred nine thousand, five hundred thirty-six".