30073968 has 60 divisors (see below), whose sum is σ = 86893248. Its totient is φ = 9699840.

The previous prime is 30073963. The next prime is 30073973. The reversal of 30073968 is 86937003.

It is an interprime number because it is at equal distance from previous prime (30073963) and next prime (30073973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30073961) 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, 1096 + ... + 7832.

Almost surely, 2^30073968 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 30073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43446624).

30073968 is an abundant number, since it is smaller than the sum of its proper divisors (56819280).

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

30073968 is a wasteful number, since it uses less digits than its factorization.

30073968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30073968 is about 5483.9737417314. The cubic root of 30073968 is about 310.9784140820.

The spelling of 30073968 in words is "thirty million, seventy-three thousand, nine hundred sixty-eight".