30960072 has 192 divisors, whose sum is σ = 102735360. Its totient is φ = 8294400.

The previous prime is 30960053. The next prime is 30960091. The reversal of 30960072 is 27006903.

It is an interprime number because it is at equal distance from previous prime (30960053) and next prime (30960091).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319128 + ... + 319224.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^30960072 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 30960072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

30960072 is an abundant number, since it is smaller than the sum of its proper divisors (71775288).

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

30960072 is a wasteful number, since it uses less digits than its factorization.

30960072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30960072 is about 5564.1775672601. The cubic root of 30960072 is about 314.0031373508.

Adding to 30960072 its reverse (27006903), we get a palindrome (57966975).

The spelling of 30960072 in words is "thirty million, nine hundred sixty thousand, seventy-two".