128972625 has 32 divisors (see below), whose sum is σ = 227245824. Its totient is φ = 64736000.

The previous prime is 128972611. The next prime is 128972629. The reversal of 128972625 is 526279821.

It is not a de Polignac number, because 128972625 - 2¹⁶ = 128907089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128972629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3741 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (7101432).

Almost surely, 2^128972625 is an apocalyptic number.

128972625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128972625 is a deficient number, since it is larger than the sum of its proper divisors (98273199).

128972625 is a wasteful number, since it uses less digits than its factorization.

128972625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20266 (or 20256 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 128972625 is about 11356.6115104815. The cubic root of 128972625 is about 505.2416906684.

The spelling of 128972625 in words is "one hundred twenty-eight million, nine hundred seventy-two thousand, six hundred twenty-five".