72825680 has 40 divisors (see below), whose sum is σ = 169820232. Its totient is φ = 29044224.

The previous prime is 72825679. The next prime is 72825691. The reversal of 72825680 is 8652827.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 66455104 = 2524^2 + 8152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30614 + ... + 32906.

Almost surely, 2^72825680 is an apocalyptic number.

It is an amenable number.

72825680 is an abundant number, since it is smaller than the sum of its proper divisors (96994552).

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

72825680 is a wasteful number, since it uses less digits than its factorization.

72825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 72825680 is about 8533.7963416055. The cubic root of 72825680 is about 417.6009867223.

The spelling of 72825680 in words is "seventy-two million, eight hundred twenty-five thousand, six hundred eighty".