72756048 has 40 divisors (see below), whose sum is σ = 188802400. Its totient is φ = 24142464.

The previous prime is 72756031. The next prime is 72756049. The reversal of 72756048 is 84065727.

It is a junction number, because it is equal to n+sod(n) for n = 72755997 and 72756015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72756049) 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 7 ways as a sum of consecutive naturals, for example, 7683 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (4720060).

Almost surely, 2^72756048 is an apocalyptic number.

It is an amenable number.

72756048 is an abundant number, since it is smaller than the sum of its proper divisors (116046352).

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

72756048 is a wasteful number, since it uses less digits than its factorization.

72756048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72756048 is about 8529.7155872866. The cubic root of 72756048 is about 417.4678484091.

The spelling of 72756048 in words is "seventy-two million, seven hundred fifty-six thousand, forty-eight".