72007128 has 24 divisors (see below), whose sum is σ = 195019500. Its totient is φ = 24002352.

The previous prime is 72007109. The next prime is 72007129. The reversal of 72007128 is 82170027.

It is a tau number, because it is divible by the number of its divisors (24).

72007128 is a modest number, since divided by 7128 gives 72 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499978 + ... + 500121.

Almost surely, 2^72007128 is an apocalyptic number.

It is an amenable number.

72007128 is an abundant number, since it is smaller than the sum of its proper divisors (123012372).

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

72007128 is a wasteful number, since it uses less digits than its factorization.

72007128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000111 (or 1000104 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72007128 is about 8485.7013852716. The cubic root of 72007128 is about 416.0304927106.

The spelling of 72007128 in words is "seventy-two million, seven thousand, one hundred twenty-eight".