72019305225 has 240 divisors, whose sum is σ = 156684971520. Its totient is φ = 32024678400.

The previous prime is 72019305199. The next prime is 72019305227. The reversal of 72019305225 is 52250391027.

It is not a de Polignac number, because 72019305225 - 2²⁸ = 71750869769 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72019305225.

It is not an unprimeable number, because it can be changed into a prime (72019305227) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 81746785 + ... + 81747665.

It is an arithmetic number, because the mean of its divisors is an integer number (652854048).

Almost surely, 2^72019305225 is an apocalyptic number.

72019305225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72019305225 is an abundant number, since it is smaller than the sum of its proper divisors (84665666295).

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

72019305225 is a wasteful number, since it uses less digits than its factorization.

72019305225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 72019305225 in words is "seventy-two billion, nineteen million, three hundred five thousand, two hundred twenty-five".