4972672 has 32 divisors (see below), whose sum is σ = 10107180. Its totient is φ = 2436096.

The previous prime is 4972663. The next prime is 4972691. The reversal of 4972672 is 2762794.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 876096 = 2024^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6418 + ... + 7150.

Almost surely, 2^4972672 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 4972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053590).

4972672 is an abundant number, since it is smaller than the sum of its proper divisors (5134508).

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

4972672 is an equidigital number, since it uses as much as digits as its factorization.

4972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 788 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 4972672 is about 2229.9488783378. The cubic root of 4972672 is about 170.6854905452.

The spelling of 4972672 in words is "four million, nine hundred seventy-two thousand, six hundred seventy-two".