742147200 has 288 divisors, whose sum is σ = 2692031940. Its totient is φ = 194641920.

The previous prime is 742147199. The next prime is 742147243. The reversal of 742147200 is 2741247.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 257795136 + 484352064 = 16056^2 + 22008^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102224 + ... + 2102576.

Almost surely, 2^742147200 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 742147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346015970).

742147200 is an abundant number, since it is smaller than the sum of its proper divisors (1949884740).

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

742147200 is a wasteful number, since it uses less digits than its factorization.

742147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 742147200 is about 27242.3787507626. The cubic root of 742147200 is about 905.3781678098.

Adding to 742147200 its reverse (2741247), we get a palindrome (744888447).

The spelling of 742147200 in words is "seven hundred forty-two million, one hundred forty-seven thousand, two hundred".