30724000 has 48 divisors (see below), whose sum is σ = 75498696. Its totient is φ = 12288000.

The previous prime is 30723997. The next prime is 30724003. The reversal of 30724000 is 42703.

It is an interprime number because it is at equal distance from previous prime (30723997) and next prime (30724003).

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 18696976 = 3468^2 + 4324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30724003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 7840.

Almost surely, 2^30724000 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 30724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749348).

30724000 is an abundant number, since it is smaller than the sum of its proper divisors (44774696).

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

30724000 is an equidigital number, since it uses as much as digits as its factorization.

30724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 30724000 is about 5542.9234163932. The cubic root of 30724000 is about 313.2030039940.

Adding to 30724000 its reverse (42703), we get a palindrome (30766703).

The spelling of 30724000 in words is "thirty million, seven hundred twenty-four thousand".