72034128 has 30 divisors (see below), whose sum is σ = 201595914. Its totient is φ = 24011328.

The previous prime is 72034121. The next prime is 72034139. The reversal of 72034128 is 82143027.

It can be written as a sum of positive squares in only one way, i.e., 70761744 + 1272384 = 8412^2 + 1128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72034121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249975 + ... + 250262.

Almost surely, 2^72034128 is an apocalyptic number.

It is an amenable number.

72034128 is an abundant number, since it is smaller than the sum of its proper divisors (129561786).

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

72034128 is a wasteful number, since it uses less digits than its factorization.

72034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500251 (or 500242 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72034128 is about 8487.2921476758. The cubic root of 72034128 is about 416.0824848765.

The spelling of 72034128 in words is "seventy-two million, thirty-four thousand, one hundred twenty-eight".