1472768 has 36 divisors (see below), whose sum is σ = 3213168. Its totient is φ = 668160.

The previous prime is 1472767. The next prime is 1472777. The reversal of 1472768 is 8672741.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1472767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555 + ... + 3077.

2^1472768 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 1472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606584).

1472768 is an abundant number, since it is smaller than the sum of its proper divisors (1740400).

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

1472768 is an equidigital number, since it uses as much as digits as its factorization.

1472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 1472768 is about 1213.5765324033. The cubic root of 1472768 is about 113.7744591769.

The spelling of 1472768 in words is "one million, four hundred seventy-two thousand, seven hundred sixty-eight".