72028160000 has 160 divisors (see below), whose sum is σ = 180061213530. Its totient is φ = 28803072000.

The previous prime is 72028159969. The next prime is 72028160063. The reversal of 72028160000 is 6182027.

It can be written as a sum of positive squares in 5 ways, for example, as 10936139776 + 61092020224 = 104576^2 + 247168^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20478242 + ... + 20481758.

Almost surely, 2^72028160000 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 72028160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90030606765).

72028160000 is an abundant number, since it is smaller than the sum of its proper divisors (108033053530).

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

72028160000 is an frugal number, since it uses more digits than its factorization.

72028160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 72028160000 in words is "seventy-two billion, twenty-eight million, one hundred sixty thousand".