742521600 has 216 divisors, whose sum is σ = 2723384720. Its totient is φ = 197959680.

The previous prime is 742521589. The next prime is 742521607. The reversal of 742521600 is 6125247.

742521600 is a `hidden beast` number, since 7 + 4 + 2 + 52 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (742521607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170652 + ... + 174948.

Almost surely, 2^742521600 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 742521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361692360).

742521600 is an abundant number, since it is smaller than the sum of its proper divisors (1980863120).

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

742521600 is a wasteful number, since it uses less digits than its factorization.

742521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 742521600 is about 27249.2495309504. The cubic root of 742521600 is about 905.5303912501.

Adding to 742521600 its reverse (6125247), we get a palindrome (748646847).

The spelling of 742521600 in words is "seven hundred forty-two million, five hundred twenty-one thousand, six hundred".