128972 has 12 divisors (see below), whose sum is σ = 237720. Its totient is φ = 61056.

The previous prime is 128971. The next prime is 128981. The reversal of 128972 is 279821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 773 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (19810).

2¹²⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

128972 is a deficient number, since it is larger than the sum of its proper divisors (108748).

128972 is a wasteful number, since it uses less digits than its factorization.

128972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 128972 is about 359.1267185827. The cubic root of 128972 is about 50.5240874535.

The spelling of 128972 in words is "one hundred twenty-eight thousand, nine hundred seventy-two".