272432628 has 72 divisors (see below), whose sum is σ = 761714408. Its totient is φ = 81554688.

The previous prime is 272432627. The next prime is 272432651. The reversal of 272432628 is 826234272.

It is a happy number.

272432628 is a `hidden beast` number, since 2 + 7 + 24 + 3 + 2 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10381284 + 262051344 = 3222^2 + 16188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 272432592 and 272432601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272432623) 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 23 ways as a sum of consecutive naturals, for example, 9450 + ... + 25182.

Almost surely, 2^272432628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272432628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380857204).

272432628 is an abundant number, since it is smaller than the sum of its proper divisors (489281780).

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

272432628 is a wasteful number, since it uses less digits than its factorization.

272432628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793 (or 15788 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 272432628 is about 16505.5332540333. The cubic root of 272432628 is about 648.2656946565.

The spelling of 272432628 in words is "two hundred seventy-two million, four hundred thirty-two thousand, six hundred twenty-eight".