30240672 has 96 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 7852800.

The previous prime is 30240667. The next prime is 30240673. The reversal of 30240672 is 27604203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×30240672³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30240673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347 + ... + 9437.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^30240672 is an apocalyptic number.

30240672 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 30240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

30240672 is an abundant number, since it is smaller than the sum of its proper divisors (68752992).

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

30240672 is a wasteful number, since it uses less digits than its factorization.

30240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30240672 is about 5499.1519346168. The cubic root of 30240672 is about 311.5519538691.

Adding to 30240672 its reverse (27604203), we get a palindrome (57844875).

The spelling of 30240672 in words is "thirty million, two hundred forty thousand, six hundred seventy-two".