4272720 has 80 divisors (see below), whose sum is σ = 13957440. Its totient is φ = 1078272.

The previous prime is 4272707. The next prime is 4272727. The reversal of 4272720 is 272724.

4272720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4272720² = 36512272396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4272727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4092 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (174468).

Almost surely, 2^4272720 is an apocalyptic number.

4272720 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 4272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978720).

4272720 is an abundant number, since it is smaller than the sum of its proper divisors (9684720).

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

4272720 is a wasteful number, since it uses less digits than its factorization.

4272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4272720 is about 2067.0558773289. The cubic root of 4272720 is about 162.2687202947.

The spelling of 4272720 in words is "four million, two hundred seventy-two thousand, seven hundred twenty".