745417728 has 440 divisors, whose sum is σ = 2615574720. Its totient is φ = 209018880.

The previous prime is 745417703. The next prime is 745417789. The reversal of 745417728 is 827714547.

745417728 is a `hidden beast` number, since 7 + 454 + 177 + 28 = 666.

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 39 ways as a sum of consecutive naturals, for example, 17335275 + ... + 17335317.

It is an arithmetic number, because the mean of its divisors is an integer number (5944488).

Almost surely, 2^745417728 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 745417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307787360).

745417728 is an abundant number, since it is smaller than the sum of its proper divisors (1870156992).

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

745417728 is a wasteful number, since it uses less digits than its factorization.

745417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 745417728 is about 27302.3392404387. The cubic root of 745417728 is about 906.7061728268.

The spelling of 745417728 in words is "seven hundred forty-five million, four hundred seventeen thousand, seven hundred twenty-eight".