72141888096 has 36 divisors (see below), whose sum is σ = 205153495092. Its totient is φ = 24047295936.

The previous prime is 72141888079. The next prime is 72141888097. The reversal of 72141888096 is 69088814127.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72141888097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125246046 + ... + 125246621.

It is an arithmetic number, because the mean of its divisors is an integer number (5698708197).

Almost surely, 2^72141888096 is an apocalyptic number.

It is an amenable number.

72141888096 is an abundant number, since it is smaller than the sum of its proper divisors (133011606996).

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

72141888096 is a wasteful number, since it uses less digits than its factorization.

72141888096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250492683 (or 250492672 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 72141888096 in words is "seventy-two billion, one hundred forty-one million, eight hundred eighty-eight thousand, ninety-six".