72027434144 has 48 divisors (see below), whose sum is σ = 145741625568. Its totient is φ = 35021075712.

The previous prime is 72027434093. The next prime is 72027434159. The reversal of 72027434144 is 44143472027.

It is a junction number, because it is equal to n+sod(n) for n = 72027434098 and 72027434107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197054 + ... + 427650.

It is an arithmetic number, because the mean of its divisors is an integer number (3036283866).

Almost surely, 2^72027434144 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 72027434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72870812784).

72027434144 is an abundant number, since it is smaller than the sum of its proper divisors (73714191424).

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

72027434144 is a wasteful number, since it uses less digits than its factorization.

72027434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230877 (or 230869 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The spelling of 72027434144 in words is "seventy-two billion, twenty-seven million, four hundred thirty-four thousand, one hundred forty-four".