30420672 has 112 divisors (see below), whose sum is σ = 87782400. Its totient is φ = 9262080.

The previous prime is 30420659. The next prime is 30420673. The reversal of 30420672 is 27602403.

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 (30420673) 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, 112954 + ... + 113222.

Almost surely, 2^30420672 is an apocalyptic number.

30420672 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 30420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891200).

30420672 is an abundant number, since it is smaller than the sum of its proper divisors (57361728).

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

30420672 is a wasteful number, since it uses less digits than its factorization.

30420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

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

The square root of 30420672 is about 5515.4938128875. The cubic root of 30420672 is about 312.1688763601.

The spelling of 30420672 in words is "thirty million, four hundred twenty thousand, six hundred seventy-two".