30015072 has 72 divisors (see below), whose sum is σ = 86388120. Its totient is φ = 9884160.

The previous prime is 30015067. The next prime is 30015091. The reversal of 30015072 is 27051003.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25047 + ... + 26217.

It is an arithmetic number, because the mean of its divisors is an integer number (1199835).

Almost surely, 2^30015072 is an apocalyptic number.

30015072 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 30015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43194060).

30015072 is an abundant number, since it is smaller than the sum of its proper divisors (56373048).

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

30015072 is a wasteful number, since it uses less digits than its factorization.

30015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 30015072 is about 5478.6012813491. The cubic root of 30015072 is about 310.7752776706.

Adding to 30015072 its reverse (27051003), we get a palindrome (57066075).

The spelling of 30015072 in words is "thirty million, fifteen thousand, seventy-two".