742003200 has 480 divisors, whose sum is σ = 2892225600. Its totient is φ = 185794560.

The previous prime is 742003187. The next prime is 742003231. The reversal of 742003200 is 2300247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6566344 + ... + 6566456.

It is an arithmetic number, because the mean of its divisors is an integer number (6025470).

Almost surely, 2^742003200 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 742003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446112800).

742003200 is an abundant number, since it is smaller than the sum of its proper divisors (2150222400).

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

742003200 is a wasteful number, since it uses less digits than its factorization.

742003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 742003200 is about 27239.7356815370. The cubic root of 742003200 is about 905.3196067008.

Adding to 742003200 its reverse (2300247), we get a palindrome (744303447).

The spelling of 742003200 in words is "seven hundred forty-two million, three thousand, two hundred".