30045672 has 48 divisors (see below), whose sum is σ = 82719780. Its totient is φ = 9849600.

The previous prime is 30045667. The next prime is 30045677. The reversal of 30045672 is 27654003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30045667) and next prime (30045677).

It can be written as a sum of positive squares in 2 ways, for example, as 29224836 + 820836 = 5406^2 + 906^2 .

It is a super-3 number, since 3×30045672³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30045677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972 + ... + 7812.

Almost surely, 2^30045672 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 30045672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41359890).

30045672 is an abundant number, since it is smaller than the sum of its proper divisors (52674108).

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

30045672 is a wasteful number, since it uses less digits than its factorization.

30045672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6907 counting only the distinct ones).

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

The square root of 30045672 is about 5481.3932535442. The cubic root of 30045672 is about 310.8808523370.

Adding to 30045672 its reverse (27654003), we get a palindrome (57699675).

The spelling of 30045672 in words is "thirty million, forty-five thousand, six hundred seventy-two".