742728 has 32 divisors (see below), whose sum is σ = 2122560. Its totient is φ = 212160.

The previous prime is 742723. The next prime is 742757. The reversal of 742728 is 827247.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 742695 and 742704.

It is not an unprimeable number, because it can be changed into a prime (742723) by changing a digit.

742728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2043 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (66330).

2⁷⁴²⁷²⁸ is an apocalyptic number.

It is an amenable number.

742728 is an abundant number, since it is smaller than the sum of its proper divisors (1379832).

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

742728 is a wasteful number, since it uses less digits than its factorization.

742728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4433 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 742728 is about 861.8166858445. The cubic root of 742728 is about 90.5614287421.

The spelling of 742728 in words is "seven hundred forty-two thousand, seven hundred twenty-eight".