30249072 has 120 divisors (see below), whose sum is σ = 101072400. Its totient is φ = 8636544.

The previous prime is 30249067. The next prime is 30249073. The reversal of 30249072 is 27094203.

It is a super-2 number, since 2×30249072² = 1830012713722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

30249072 is a modest number, since divided by 9072 gives 3024 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30249073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20454 + ... + 21882.

It is an arithmetic number, because the mean of its divisors is an integer number (842270).

Almost surely, 2^30249072 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 30249072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50536200).

30249072 is an abundant number, since it is smaller than the sum of its proper divisors (70823328).

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

30249072 is a wasteful number, since it uses less digits than its factorization.

30249072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30249072 is about 5499.9156357166. The cubic root of 30249072 is about 311.5807979607.

The spelling of 30249072 in words is "thirty million, two hundred forty-nine thousand, seventy-two".