742100 has 36 divisors (see below), whose sum is σ = 1658748. Its totient is φ = 288000.

The previous prime is 742073. The next prime is 742111. The reversal of 742100 is 1247.

It is a happy number.

742100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 355216 + 386884 = 596^2 + 622^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4010 + ... + 4190.

2⁷⁴²¹⁰⁰ 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 742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829374).

742100 is an abundant number, since it is smaller than the sum of its proper divisors (916648).

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

742100 is a wasteful number, since it uses less digits than its factorization.

742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 742100 is about 861.4522621713. The cubic root of 742100 is about 90.5358973614.

Adding to 742100 its reverse (1247), we get a palindrome (743347).

The spelling of 742100 in words is "seven hundred forty-two thousand, one hundred", and thus it is an iban number.