272226528 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 69797376.

The previous prime is 272226527. The next prime is 272226541. The reversal of 272226528 is 825622272.

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 = 272226492 and 272226501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272226527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642925 + ... + 2643027.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^272226528 is an apocalyptic number.

272226528 is a gapful number since it is divisible by the number (28) 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 272226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

272226528 is an abundant number, since it is smaller than the sum of its proper divisors (734160672).

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

272226528 is a wasteful number, since it uses less digits than its factorization.

272226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 272226528 is about 16499.2887119415. The cubic root of 272226528 is about 648.1021786747.

The spelling of 272226528 in words is "two hundred seventy-two million, two hundred twenty-six thousand, five hundred twenty-eight".