72516577 has 32 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 56094720.

The previous prime is 72516571. The next prime is 72516589. The reversal of 72516577 is 77561527.

It is a cyclic number.

It is not a de Polignac number, because 72516577 - 2²³ = 64127969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72516571) 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 31 ways as a sum of consecutive naturals, for example, 434148 + ... + 434314.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^72516577 is an apocalyptic number.

It is an amenable number.

72516577 is a deficient number, since it is larger than the sum of its proper divisors (18929183).

72516577 is a wasteful number, since it uses less digits than its factorization.

72516577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 102900, while the sum is 40.

The square root of 72516577 is about 8515.6665622839. Note that the first 3 decimals coincide. The cubic root of 72516577 is about 417.0093237472.

The spelling of 72516577 in words is "seventy-two million, five hundred sixteen thousand, five hundred seventy-seven".