72128946582 has 320 divisors, whose sum is σ = 206997120000. Its totient is φ = 18609212160.

The previous prime is 72128946563. The next prime is 72128946583. The reversal of 72128946582 is 28564982127.

72128946582 is a `hidden beast` number, since 7 + 2 + 12 + 8 + 9 + 46 + 582 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128946583) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121633678 + ... + 121634270.

It is an arithmetic number, because the mean of its divisors is an integer number (646866000).

Almost surely, 2^72128946582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72128946582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103498560000).

72128946582 is an abundant number, since it is smaller than the sum of its proper divisors (134868173418).

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

72128946582 is a wasteful number, since it uses less digits than its factorization.

72128946582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 815 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 72128946582 in words is "seventy-two billion, one hundred twenty-eight million, nine hundred forty-six thousand, five hundred eighty-two".