72825872 has 40 divisors (see below), whose sum is σ = 161662272. Its totient is φ = 31132800.

The previous prime is 72825847. The next prime is 72825877. The reversal of 72825872 is 27852827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72825877) 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, 76922 + ... + 77862.

Almost surely, 2^72825872 is an apocalyptic number.

It is an amenable number.

72825872 is an abundant number, since it is smaller than the sum of its proper divisors (88836400).

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

72825872 is a wasteful number, since it uses less digits than its factorization.

72825872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its digits is 125440, while the sum is 41.

The square root of 72825872 is about 8533.8075909877. The cubic root of 72825872 is about 417.6013537142.

The spelling of 72825872 in words is "seventy-two million, eight hundred twenty-five thousand, eight hundred seventy-two".