128075472 has 160 divisors (see below), whose sum is σ = 430805760. Its totient is φ = 35665920.

The previous prime is 128075471. The next prime is 128075491. The reversal of 128075472 is 274570821.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128075471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123468 + ... + 124500.

It is an arithmetic number, because the mean of its divisors is an integer number (2692536).

Almost surely, 2^128075472 is an apocalyptic number.

128075472 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 128075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215402880).

128075472 is an abundant number, since it is smaller than the sum of its proper divisors (302730288).

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

128075472 is a wasteful number, since it uses less digits than its factorization.

128075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 128075472 is about 11317.0434301544. The cubic root of 128075472 is about 504.0674512899.

The spelling of 128075472 in words is "one hundred twenty-eight million, seventy-five thousand, four hundred seventy-two".