4944672 has 96 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 1603584.

The previous prime is 4944661. The next prime is 4944679. The reversal of 4944672 is 2764494.

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

It is a super-3 number, since 3×4944672³ (a number of 21 digits) contains 333 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 9⁷ + 4⁷ + 4⁸ + 6⁶ + 7³ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (4944679) 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, 50928 + ... + 51024.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 2^4944672 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 4944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

4944672 is an abundant number, since it is smaller than the sum of its proper divisors (9872928).

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

4944672 is a wasteful number, since it uses less digits than its factorization.

4944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

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

The square root of 4944672 is about 2223.6618447957. The cubic root of 4944672 is about 170.3645234615.

The spelling of 4944672 in words is "four million, nine hundred forty-four thousand, six hundred seventy-two".