72765824 has 32 divisors (see below), whose sum is σ = 145452000. Its totient is φ = 36260352.

The previous prime is 72765817. The next prime is 72765829. The reversal of 72765824 is 42856727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46202 + ... + 47750.

It is an arithmetic number, because the mean of its divisors is an integer number (4545375).

Almost surely, 2^72765824 is an apocalyptic number.

It is an amenable number.

72765824 is a deficient number, since it is larger than the sum of its proper divisors (72686176).

72765824 is a wasteful number, since it uses less digits than its factorization.

72765824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1918 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72765824 is about 8530.2886234875. The cubic root of 72765824 is about 417.4865455164.

The spelling of 72765824 in words is "seventy-two million, seven hundred sixty-five thousand, eight hundred twenty-four".