128419272 has 24 divisors (see below), whose sum is σ = 347802390. Its totient is φ = 42806400.

The previous prime is 128419243. The next prime is 128419273. The reversal of 128419272 is 272914821.

It can be written as a sum of positive squares in only one way, i.e., 80892036 + 47527236 = 8994^2 + 6894^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (128419273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 891729 + ... + 891872.

Almost surely, 2^128419272 is an apocalyptic number.

128419272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128419272 is an abundant number, since it is smaller than the sum of its proper divisors (219383118).

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

128419272 is a wasteful number, since it uses less digits than its factorization.

128419272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783613 (or 1783606 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 128419272 is about 11332.2227298973. Note that the first 3 decimals coincide. The cubic root of 128419272 is about 504.5180802644.

The spelling of 128419272 in words is "one hundred twenty-eight million, four hundred nineteen thousand, two hundred seventy-two".