30465072 has 100 divisors (see below), whose sum is σ = 96235656. Its totient is φ = 9227520.

The previous prime is 30465053. The next prime is 30465079. The reversal of 30465072 is 27056403.

It is a happy number.

30465072 is a `hidden beast` number, since 3 + 0 + 4 + 650 + 7 + 2 = 666.

It is a super-2 number, since 2×30465072² = 1856241223930368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30465079) 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 19 ways as a sum of consecutive naturals, for example, 13188 + ... + 15324.

Almost surely, 2^30465072 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 30465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117828).

30465072 is an abundant number, since it is smaller than the sum of its proper divisors (65770584).

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

30465072 is a wasteful number, since it uses less digits than its factorization.

30465072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2153 counting only the distinct ones).

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

The square root of 30465072 is about 5519.5173702055. The cubic root of 30465072 is about 312.3206762105.

It can be divided in two parts, 3046 and 5072, that added together give a palindrome (8118).

The spelling of 30465072 in words is "thirty million, four hundred sixty-five thousand, seventy-two".