72086728 has 32 divisors (see below), whose sum is σ = 154920960. Its totient is φ = 30804480.

The previous prime is 72086699. The next prime is 72086743. The reversal of 72086728 is 82768027.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 19768 + ... + 23128.

It is an arithmetic number, because the mean of its divisors is an integer number (4841280).

Almost surely, 2^72086728 is an apocalyptic number.

It is an amenable number.

72086728 is an abundant number, since it is smaller than the sum of its proper divisors (82834232).

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

72086728 is a wasteful number, since it uses less digits than its factorization.

72086728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 72086728 is about 8490.3903326054. The cubic root of 72086728 is about 416.1837360212.

The spelling of 72086728 in words is "seventy-two million, eighty-six thousand, seven hundred twenty-eight".