742128000 has 128 divisors (see below), whose sum is σ = 2460313440. Its totient is φ = 197888000.

The previous prime is 742127999. The next prime is 742128043. The reversal of 742128000 is 821247.

742128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40270 + ... + 55730.

Almost surely, 2^742128000 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 742128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230156720).

742128000 is an abundant number, since it is smaller than the sum of its proper divisors (1718185440).

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

742128000 is a wasteful number, since it uses less digits than its factorization.

742128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15493 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 742128000 is about 27242.0263563488. The cubic root of 742128000 is about 905.3703600997.

Adding to 742128000 its reverse (821247), we get a palindrome (742949247).

The spelling of 742128000 in words is "seven hundred forty-two million, one hundred twenty-eight thousand".