72309824 has 14 divisors (see below), whose sum is σ = 143489934. Its totient is φ = 36154880.

The previous prime is 72309821. The next prime is 72309841. The reversal of 72309824 is 42890327.

It can be written as a sum of positive squares in only one way, i.e., 71910400 + 399424 = 8480^2 + 632^2 .

It is not an unprimeable number, because it can be changed into a prime (72309821) 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 as a sum of consecutive naturals, namely, 564857 + ... + 564984.

It is an arithmetic number, because the mean of its divisors is an integer number (10249281).

Almost surely, 2^72309824 is an apocalyptic number.

It is an amenable number.

72309824 is a deficient number, since it is larger than the sum of its proper divisors (71180110).

72309824 is a wasteful number, since it uses less digits than its factorization.

72309824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129853 (or 1129843 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72309824 is about 8503.5183306676. The cubic root of 72309824 is about 416.6126328509.

The spelling of 72309824 in words is "seventy-two million, three hundred nine thousand, eight hundred twenty-four".