72716720 has 20 divisors (see below), whose sum is σ = 169066560. Its totient is φ = 29086656.

The previous prime is 72716713. The next prime is 72716747. The reversal of 72716720 is 2761727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 454400 + ... + 454559.

It is an arithmetic number, because the mean of its divisors is an integer number (8453328).

Almost surely, 2^72716720 is an apocalyptic number.

It is an amenable number.

72716720 is an abundant number, since it is smaller than the sum of its proper divisors (96349840).

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

72716720 is a wasteful number, since it uses less digits than its factorization.

72716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908972 (or 908966 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 72716720 is about 8527.4099233003. The cubic root of 72716720 is about 417.3926146421.

The spelling of 72716720 in words is "seventy-two million, seven hundred sixteen thousand, seven hundred twenty".