30666672 has 60 divisors (see below), whose sum is σ = 86390304. Its totient is φ = 10154880.

The previous prime is 30666667. The next prime is 30666677. The reversal of 30666672 is 27666603.

It is an interprime number because it is at equal distance from previous prime (30666667) and next prime (30666677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30666677) 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, 24297 + ... + 25527.

Almost surely, 2^30666672 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 30666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43195152).

30666672 is an abundant number, since it is smaller than the sum of its proper divisors (55723632).

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

30666672 is a wasteful number, since it uses less digits than its factorization.

30666672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 30666672 is about 5537.7497234888. The cubic root of 30666672 is about 313.0080805788.

The spelling of 30666672 in words is "thirty million, six hundred sixty-six thousand, six hundred seventy-two".