72016872 has 32 divisors (see below), whose sum is σ = 180458880. Its totient is φ = 23950080.

The previous prime is 72016871. The next prime is 72016907. The reversal of 72016872 is 27861027.

It is not an unprimeable number, because it can be changed into a prime (72016871) by changing a digit.

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, 7872 + ... + 14352.

It is an arithmetic number, because the mean of its divisors is an integer number (5639340).

Almost surely, 2^72016872 is an apocalyptic number.

It is an amenable number.

72016872 is an abundant number, since it is smaller than the sum of its proper divisors (108442008).

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

72016872 is a wasteful number, since it uses less digits than its factorization.

72016872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72016872 is about 8486.2755081367. The cubic root of 72016872 is about 416.0492576042.

Adding to 72016872 its reverse (27861027), we get a palindrome (99877899).

The spelling of 72016872 in words is "seventy-two million, sixteen thousand, eight hundred seventy-two".