72025802784 has 288 divisors, whose sum is σ = 223152209280. Its totient is φ = 21905178624.

The previous prime is 72025802671. The next prime is 72025802837. The reversal of 72025802784 is 48720852027.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190041507 + ... + 190041885.

It is an arithmetic number, because the mean of its divisors is an integer number (774834060).

Almost surely, 2^72025802784 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 72025802784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111576104640).

72025802784 is an abundant number, since it is smaller than the sum of its proper divisors (151126406496).

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

72025802784 is a wasteful number, since it uses less digits than its factorization.

72025802784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 72025802784 in words is "seventy-two billion, twenty-five million, eight hundred two thousand, seven hundred eighty-four".