128739072 has 216 divisors, whose sum is σ = 436205952. Its totient is φ = 33331200.

The previous prime is 128739053. The next prime is 128739101. The reversal of 128739072 is 270937821.

It is a self number, because there is not a number n which added to its sum of digits gives 128739072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413797 + ... + 414107.

It is an arithmetic number, because the mean of its divisors is an integer number (2019472).

Almost surely, 2^128739072 is an apocalyptic number.

128739072 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 128739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218102976).

128739072 is an abundant number, since it is smaller than the sum of its proper divisors (307466880).

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

128739072 is a wasteful number, since it uses less digits than its factorization.

128739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 128739072 is about 11346.3241624766. The cubic root of 128739072 is about 504.9365302712.

It can be divided in two parts, 12873 and 9072, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 128739072 in words is "one hundred twenty-eight million, seven hundred thirty-nine thousand, seventy-two".