72516864 has 216 divisors, whose sum is σ = 234880128. Its totient is φ = 19783680.

The previous prime is 72516853. The next prime is 72516931. The reversal of 72516864 is 46861527.

It is a super-3 number, since 3×72516864³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542889 + ... + 1542935.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^72516864 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 72516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

72516864 is an abundant number, since it is smaller than the sum of its proper divisors (162363264).

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

72516864 is a wasteful number, since it uses less digits than its factorization.

72516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72516864 is about 8515.6834135611. The cubic root of 72516864 is about 417.0098738813.

The spelling of 72516864 in words is "seventy-two million, five hundred sixteen thousand, eight hundred sixty-four".