742673200 has 120 divisors (see below), whose sum is σ = 1863202176. Its totient is φ = 284160000.

The previous prime is 742673189. The next prime is 742673207. The reversal of 742673200 is 2376247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (742673207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252104 + ... + 1252696.

Almost surely, 2^742673200 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 742673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931601088).

742673200 is an abundant number, since it is smaller than the sum of its proper divisors (1120528976).

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

742673200 is a wasteful number, since it uses less digits than its factorization.

742673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 742673200 is about 27252.0311169645. The cubic root of 742673200 is about 905.5920141783.

The spelling of 742673200 in words is "seven hundred forty-two million, six hundred seventy-three thousand, two hundred".