741712000 has 128 divisors (see below), whose sum is σ = 1862340480. Its totient is φ = 293760000.

The previous prime is 741711991. The next prime is 741712001. The reversal of 741712000 is 217147.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (741712001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415847 + ... + 2416153.

It is an arithmetic number, because the mean of its divisors is an integer number (14549535).

Almost surely, 2^741712000 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 741712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931170240).

741712000 is an abundant number, since it is smaller than the sum of its proper divisors (1120628480).

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

741712000 is a wasteful number, since it uses less digits than its factorization.

741712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 741712000 is about 27234.3900243791. The cubic root of 741712000 is about 905.2011599680.

Adding to 741712000 its reverse (217147), we get a palindrome (741929147).

The spelling of 741712000 in words is "seven hundred forty-one million, seven hundred twelve thousand".