126772128 has 288 divisors, whose sum is σ = 455704704. Its totient is φ = 33841152.

The previous prime is 126772057. The next prime is 126772141. The reversal of 126772128 is 821277621.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126772092 and 126772101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925276 + ... + 925412.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 2^126772128 is an apocalyptic number.

126772128 is a gapful number since it is divisible by the number (18) 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 126772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227852352).

126772128 is an abundant number, since it is smaller than the sum of its proper divisors (328932576).

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

126772128 is a wasteful number, since it uses less digits than its factorization.

126772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 126772128 is about 11259.3129452911. The cubic root of 126772128 is about 502.3517584550.

The spelling of 126772128 in words is "one hundred twenty-six million, seven hundred seventy-two thousand, one hundred twenty-eight".