30918272 has 64 divisors (see below), whose sum is σ = 76818240. Its totient is φ = 12042240.

The previous prime is 30918241. The next prime is 30918287. The reversal of 30918272 is 27281903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8288 + ... + 11424.

It is an arithmetic number, because the mean of its divisors is an integer number (1200285).

Almost surely, 2^30918272 is an apocalyptic number.

30918272 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 30918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38409120).

30918272 is an abundant number, since it is smaller than the sum of its proper divisors (45899968).

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

30918272 is a wasteful number, since it uses less digits than its factorization.

30918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 30918272 is about 5560.4201280119. The cubic root of 30918272 is about 313.8617590994.

It can be divided in two parts, 309 and 18272, that added together give a palindrome (18581).

The spelling of 30918272 in words is "thirty million, nine hundred eighteen thousand, two hundred seventy-two".