72084216 has 32 divisors (see below), whose sum is σ = 190812240. Its totient is φ = 22614528.

The previous prime is 72084209. The next prime is 72084217. The reversal of 72084216 is 61248027.

It is a super-2 number, since 2×72084216² = 10392268392669312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87931 + ... + 88746.

Almost surely, 2^72084216 is an apocalyptic number.

It is an amenable number.

72084216 is an abundant number, since it is smaller than the sum of its proper divisors (118728024).

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

72084216 is a wasteful number, since it uses less digits than its factorization.

72084216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176703 (or 176699 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72084216 is about 8490.2423993665. The cubic root of 72084216 is about 416.1789017255.

The spelling of 72084216 in words is "seventy-two million, eighty-four thousand, two hundred sixteen".