30074112 has 144 divisors (see below), whose sum is σ = 94024000. Its totient is φ = 9455616.

The previous prime is 30074111. The next prime is 30074113. The reversal of 30074112 is 21147003.

It is an interprime number because it is at equal distance from previous prime (30074111) and next prime (30074113).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30074111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131214 + ... + 131442.

Almost surely, 2^30074112 is an apocalyptic number.

30074112 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 30074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47012000).

30074112 is an abundant number, since it is smaller than the sum of its proper divisors (63949888).

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

30074112 is a wasteful number, since it uses less digits than its factorization.

30074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30074112 is about 5483.9868708814. The cubic root of 30074112 is about 310.9789104229.

The spelling of 30074112 in words is "thirty million, seventy-four thousand, one hundred twelve".