4972160 has 64 divisors (see below), whose sum is σ = 12613320. Its totient is φ = 1867776.

The previous prime is 4972159. The next prime is 4972189. The reversal of 4972160 is 612794.

It can be written as a sum of positive squares in 4 ways, for example, as 4910656 + 61504 = 2216^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10652 + ... + 11108.

Almost surely, 2^4972160 is an apocalyptic number.

4972160 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 4972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306660).

4972160 is an abundant number, since it is smaller than the sum of its proper divisors (7641160).

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

4972160 is a wasteful number, since it uses less digits than its factorization.

4972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 4972160 is about 2229.8340745446. The cubic root of 4972160 is about 170.6796322615.

The spelling of 4972160 in words is "four million, nine hundred seventy-two thousand, one hundred sixty".