30526272 has 168 divisors, whose sum is σ = 102388416. Its totient is φ = 8515584.

The previous prime is 30526261. The next prime is 30526277. The reversal of 30526272 is 27262503.

30526272 is a `hidden beast` number, since 30 + 5 + 2 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30526277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270088 + ... + 270200.

Almost surely, 2^30526272 is an apocalyptic number.

30526272 is a gapful number since it is divisible by the number (32) 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 30526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194208).

30526272 is an abundant number, since it is smaller than the sum of its proper divisors (71862144).

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

30526272 is a wasteful number, since it uses less digits than its factorization.

30526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30526272 is about 5525.0585517259. The cubic root of 30526272 is about 312.5296722758.

Adding to 30526272 its reverse (27262503), we get a palindrome (57788775).

The spelling of 30526272 in words is "thirty million, five hundred twenty-six thousand, two hundred seventy-two".