4272768 has 48 divisors (see below), whose sum is σ = 12298650. Its totient is φ = 1423872.

The previous prime is 4272767. The next prime is 4272769. The reversal of 4272768 is 8672724.

It is an interprime number because it is at equal distance from previous prime (4272767) and next prime (4272769).

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 304704 = 1992^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (4272767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 703 + ... + 3006.

Almost surely, 2^4272768 is an apocalyptic number.

4272768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4272768 is an abundant number, since it is smaller than the sum of its proper divisors (8025882).

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

4272768 is a wasteful number, since it uses less digits than its factorization.

4272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3714 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4272768 is about 2067.0674880129. The cubic root of 4272768 is about 162.2693279381.

The spelling of 4272768 in words is "four million, two hundred seventy-two thousand, seven hundred sixty-eight".