128826072 has 64 divisors (see below), whose sum is σ = 360144000. Its totient is φ = 42666912.

The previous prime is 128826067. The next prime is 128826077. The reversal of 128826072 is 270628821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128826067) and next prime (128826077).

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 (128826077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33379 + ... + 37037.

It is an arithmetic number, because the mean of its divisors is an integer number (5627250).

Almost surely, 2^128826072 is an apocalyptic number.

128826072 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 128826072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180072000).

128826072 is an abundant number, since it is smaller than the sum of its proper divisors (231317928).

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

128826072 is a wasteful number, since it uses less digits than its factorization.

128826072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128826072 is about 11350.1573557374. The cubic root of 128826072 is about 505.0502475898.

The spelling of 128826072 in words is "one hundred twenty-eight million, eight hundred twenty-six thousand, seventy-two".