30667872 has 48 divisors (see below), whose sum is σ = 81838512. Its totient is φ = 10053120.

The previous prime is 30667859. The next prime is 30667873. The reversal of 30667872 is 27876603.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30667872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30667873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3238 + ... + 8474.

It is an arithmetic number, because the mean of its divisors is an integer number (1704969).

Almost surely, 2^30667872 is an apocalyptic number.

30667872 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 30667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40919256).

30667872 is an abundant number, since it is smaller than the sum of its proper divisors (51170640).

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

30667872 is a wasteful number, since it uses less digits than its factorization.

30667872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 30667872 is about 5537.8580696872. The cubic root of 30667872 is about 313.0121632390.

The spelling of 30667872 in words is "thirty million, six hundred sixty-seven thousand, eight hundred seventy-two".