72753344 has 28 divisors (see below), whose sum is σ = 149352000. Its totient is φ = 35121408.

The previous prime is 72753341. The next prime is 72753361. The reversal of 72753344 is 44335727.

It is not an unprimeable number, because it can be changed into a prime (72753341) 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, 17744 + ... + 21455.

It is an arithmetic number, because the mean of its divisors is an integer number (5334000).

Almost surely, 2^72753344 is an apocalyptic number.

It is an amenable number.

72753344 is an abundant number, since it is smaller than the sum of its proper divisors (76598656).

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

72753344 is a wasteful number, since it uses less digits than its factorization.

72753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39240 (or 39230 counting only the distinct ones).

The product of its digits is 70560, while the sum is 35.

The square root of 72753344 is about 8529.5570811151. The cubic root of 72753344 is about 417.4626765731.

The spelling of 72753344 in words is "seventy-two million, seven hundred fifty-three thousand, three hundred forty-four".