72720606 has 96 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 19656000.

The previous prime is 72720587. The next prime is 72720607. The reversal of 72720606 is 60602727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72720607) 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 47 ways as a sum of consecutive naturals, for example, 719956 + ... + 720056.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 2^72720606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72720606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

72720606 is an abundant number, since it is smaller than the sum of its proper divisors (105885474).

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

72720606 is a wasteful number, since it uses less digits than its factorization.

72720606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72720606 is about 8527.6377737331. The cubic root of 72720606 is about 417.4000496988.

The spelling of 72720606 in words is "seventy-two million, seven hundred twenty thousand, six hundred six".