742184128 has 112 divisors (see below), whose sum is σ = 1754184960. Its totient is φ = 304948224.

The previous prime is 742184111. The next prime is 742184141. The reversal of 742184128 is 821481247.

It is a happy number.

742184128 is a nontrivial binomial coefficient, being equal to C(38528, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136250 + ... + 1136902.

Almost surely, 2^742184128 is an apocalyptic number.

742184128 is the 38527-th triangular number and also the 19264-th hexagonal number.

742184128 is the 12843-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877092480).

742184128 is an abundant number, since it is smaller than the sum of its proper divisors (1012000832).

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

742184128 is a wasteful number, since it uses less digits than its factorization.

742184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 742184128 is about 27243.0565098705. The cubic root of 742184128 is about 905.3931842605.

The spelling of 742184128 in words is "seven hundred forty-two million, one hundred eighty-four thousand, one hundred twenty-eight".