72516723 has 32 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 44374176.

The previous prime is 72516709. The next prime is 72516767. The reversal of 72516723 is 32761527.

It is not a de Polignac number, because 72516723 - 2¹⁰ = 72515699 is a prime.

It is a super-2 number, since 2×72516723² = 10517350229317458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72516793) 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, 191148 + ... + 191526.

It is an arithmetic number, because the mean of its divisors is an integer number (3283200).

Almost surely, 2^72516723 is an apocalyptic number.

72516723 is a deficient number, since it is larger than the sum of its proper divisors (32545677).

72516723 is a wasteful number, since it uses less digits than its factorization.

72516723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its digits is 17640, while the sum is 33.

The square root of 72516723 is about 8515.6751347148. The cubic root of 72516723 is about 417.0096036066.

The spelling of 72516723 in words is "seventy-two million, five hundred sixteen thousand, seven hundred twenty-three".