128002073472 has 768 divisors, whose sum is σ = 482034309120. Its totient is φ = 32905543680.

The previous prime is 128002073447. The next prime is 128002073483. The reversal of 128002073472 is 274370200821.

It is a super-2 number, since 2×128002073472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116048473 + ... + 116049575.

It is an arithmetic number, because the mean of its divisors is an integer number (627648840).

Almost surely, 2^128002073472 is an apocalyptic number.

128002073472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128002073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241017154560).

128002073472 is an abundant number, since it is smaller than the sum of its proper divisors (354032235648).

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

128002073472 is a wasteful number, since it uses less digits than its factorization.

128002073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 128002073472 in words is "one hundred twenty-eight billion, two million, seventy-three thousand, four hundred seventy-two".