4767672 has 128 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1202688.

The previous prime is 4767661. The next prime is 4767673. The reversal of 4767672 is 2767674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4767672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767673) 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 31 ways as a sum of consecutive naturals, for example, 80779 + ... + 80837.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^4767672 is an apocalyptic number.

4767672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 2183×2184.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4767672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

4767672 is an abundant number, since it is smaller than the sum of its proper divisors (10553928).

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

4767672 is a wasteful number, since it uses less digits than its factorization.

4767672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 4767672 is about 2183.4999427525. The cubic root of 4767672 is about 168.3069784138.

The spelling of 4767672 in words is "four million, seven hundred sixty-seven thousand, six hundred seventy-two".