4672320 has 112 divisors (see below), whose sum is σ = 15410688. Its totient is φ = 1198080.

The previous prime is 4672307. The next prime is 4672333. The reversal of 4672320 is 232764.

It is an interprime number because it is at equal distance from previous prime (4672307) and next prime (4672333).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29682 + ... + 29838.

Almost surely, 2^4672320 is an apocalyptic number.

4672320 is a gapful number since it is divisible by the number (40) 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 4672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705344).

4672320 is an abundant number, since it is smaller than the sum of its proper divisors (10738368).

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

4672320 is a wasteful number, since it uses less digits than its factorization.

4672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

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

The square root of 4672320 is about 2161.5549958305. The cubic root of 4672320 is about 167.1773845162.

The spelling of 4672320 in words is "four million, six hundred seventy-two thousand, three hundred twenty".