72528049 has 16 divisors (see below), whose sum is σ = 80455680. Its totient is φ = 64834560.

The previous prime is 72528041. The next prime is 72528059. The reversal of 72528049 is 94082527.

It is a cyclic number.

It is not a de Polignac number, because 72528049 - 2³ = 72528041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72527999 and 72528017.

It is not an unprimeable number, because it can be changed into a prime (72528041) 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 15 ways as a sum of consecutive naturals, for example, 269487 + ... + 269755.

It is an arithmetic number, because the mean of its divisors is an integer number (5028480).

Almost surely, 2^72528049 is an apocalyptic number.

It is an amenable number.

72528049 is a deficient number, since it is larger than the sum of its proper divisors (7927631).

72528049 is a wasteful number, since it uses less digits than its factorization.

72528049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 72528049 is about 8516.3401176797. The cubic root of 72528049 is about 417.0313126446.

The spelling of 72528049 in words is "seventy-two million, five hundred twenty-eight thousand, forty-nine".