30634272 has 72 divisors (see below), whose sum is σ = 92255436. Its totient is φ = 9609216.

The previous prime is 30634267. The next prime is 30634273. The reversal of 30634272 is 27243603.

30634272 is a `hidden beast` number, since 3 + 0 + 634 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 6780816 = 4884^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30634273) 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 11 ways as a sum of consecutive naturals, for example, 1768 + ... + 8024.

Almost surely, 2^30634272 is an apocalyptic number.

30634272 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 30634272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46127718).

30634272 is an abundant number, since it is smaller than the sum of its proper divisors (61621164).

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

30634272 is a wasteful number, since it uses less digits than its factorization.

30634272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30634272 is about 5534.8235744240. The cubic root of 30634272 is about 312.8978084734.

Adding to 30634272 its reverse (27243603), we get a palindrome (57877875).

The spelling of 30634272 in words is "thirty million, six hundred thirty-four thousand, two hundred seventy-two".