4863672 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1393920.

The previous prime is 4863671. The next prime is 4863673. The reversal of 4863672 is 2763684.

It is an interprime number because it is at equal distance from previous prime (4863671) and next prime (4863673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁷ + 8³ + 6³ + 3¹⁴ + 6⁶ + 7⁵ + 2⁷ .

Its product of digits (48384) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863671) 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 31 ways as a sum of consecutive naturals, for example, 54604 + ... + 54692.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 2^4863672 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 4863672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

4863672 is an abundant number, since it is smaller than the sum of its proper divisors (10688328).

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

4863672 is a wasteful number, since it uses less digits than its factorization.

4863672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4863672 is about 2205.3734377651. The cubic root of 4863672 is about 169.4291347590.

The spelling of 4863672 in words is "four million, eight hundred sixty-three thousand, six hundred seventy-two".