72001594728 has 384 divisors, whose sum is σ = 238427504640. Its totient is φ = 19196352000.

The previous prime is 72001594711. The next prime is 72001594729. The reversal of 72001594728 is 82749510027.

It is a happy number.

72001594728 is a `hidden beast` number, since 7 + 20 + 0 + 159 + 472 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (72001594729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52136598 + ... + 52137978.

It is an arithmetic number, because the mean of its divisors is an integer number (620904960).

Almost surely, 2^72001594728 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 72001594728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119213752320).

72001594728 is an abundant number, since it is smaller than the sum of its proper divisors (166425909912).

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

72001594728 is a wasteful number, since it uses less digits than its factorization.

72001594728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 72001594728 in words is "seventy-two billion, one million, five hundred ninety-four thousand, seven hundred twenty-eight".