72027136 has 44 divisors (see below), whose sum is σ = 148694080. Its totient is φ = 34836480.

The previous prime is 72027127. The next prime is 72027139. The reversal of 72027136 is 63172027.

It is not an unprimeable number, because it can be changed into a prime (72027139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30610 + ... + 32878.

Almost surely, 2^72027136 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 72027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74347040).

72027136 is an abundant number, since it is smaller than the sum of its proper divisors (76666944).

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

72027136 is a wasteful number, since it uses less digits than its factorization.

72027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 72027136 is about 8486.8802277398. The cubic root of 72027136 is about 416.0690220779.

The spelling of 72027136 in words is "seventy-two million, twenty-seven thousand, one hundred thirty-six".