742332100 has 72 divisors (see below), whose sum is σ = 1673642880. Its totient is φ = 285582720.

The previous prime is 742332077. The next prime is 742332113. The reversal of 742332100 is 1233247.

742332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275962 + ... + 278638.

It is an arithmetic number, because the mean of its divisors is an integer number (23245040).

Almost surely, 2^742332100 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 742332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836821440).

742332100 is an abundant number, since it is smaller than the sum of its proper divisors (931310780).

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

742332100 is a wasteful number, since it uses less digits than its factorization.

742332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 742332100 is about 27245.7721490876. The cubic root of 742332100 is about 905.4533507936.

Adding to 742332100 its reverse (1233247), we get a palindrome (743565347).

The spelling of 742332100 in words is "seven hundred forty-two million, three hundred thirty-two thousand, one hundred".