743207328 has 144 divisors (see below), whose sum is σ = 2188125576. Its totient is φ = 239124480.

The previous prime is 743207321. The next prime is 743207329. The reversal of 743207328 is 823702347.

743207328 is a `hidden beast` number, since 7 + 4 + 320 + 7 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76947984 + 666259344 = 8772^2 + 25812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 743207292 and 743207301.

It is not an unprimeable number, because it can be changed into a prime (743207321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334026 + ... + 1334582.

Almost surely, 2^743207328 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 743207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094062788).

743207328 is an abundant number, since it is smaller than the sum of its proper divisors (1444918248).

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

743207328 is a wasteful number, since it uses less digits than its factorization.

743207328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 743207328 is about 27261.8291389261. The cubic root of 743207328 is about 905.8090617028.

The spelling of 743207328 in words is "seven hundred forty-three million, two hundred seven thousand, three hundred twenty-eight".