72016720 has 80 divisors (see below), whose sum is σ = 175703040. Its totient is φ = 27417600.

The previous prime is 72016717. The next prime is 72016723. The reversal of 72016720 is 2761027.

It is an interprime number because it is at equal distance from previous prime (72016717) and next prime (72016723).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72016723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175876 + ... + 176284.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288).

Almost surely, 2^72016720 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 72016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

72016720 is an abundant number, since it is smaller than the sum of its proper divisors (103686320).

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

72016720 is a wasteful number, since it uses less digits than its factorization.

72016720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72016720 is about 8486.2665524953. The cubic root of 72016720 is about 416.0489648972.

Adding to 72016720 its reverse (2761027), we get a palindrome (74777747).

The spelling of 72016720 in words is "seventy-two million, sixteen thousand, seven hundred twenty".