744875712 has 168 divisors, whose sum is σ = 2506508576. Its totient is φ = 207028224.

The previous prime is 744875699. The next prime is 744875717. The reversal of 744875712 is 217578447.

744875712 is a `hidden beast` number, since 74 + 4 + 8 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (744875717) 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, 146688 + ... + 151680.

Almost surely, 2^744875712 is an apocalyptic number.

744875712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253254288).

744875712 is an abundant number, since it is smaller than the sum of its proper divisors (1761632864).

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

744875712 is a wasteful number, since it uses less digits than its factorization.

744875712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5042 counting only the distinct ones).

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

The square root of 744875712 is about 27292.4112529472. The cubic root of 744875712 is about 906.4863549544.

The spelling of 744875712 in words is "seven hundred forty-four million, eight hundred seventy-five thousand, seven hundred twelve".