72725828 has 48 divisors (see below), whose sum is σ = 148721664. Its totient is φ = 30477600.

The previous prime is 72725827. The next prime is 72725833. The reversal of 72725828 is 82852727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72725827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435401 + ... + 435567.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2^72725828 is an apocalyptic number.

It is an amenable number.

72725828 is an abundant number, since it is smaller than the sum of its proper divisors (75995836).

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

72725828 is a wasteful number, since it uses less digits than its factorization.

72725828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

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

The square root of 72725828 is about 8527.9439491591. The cubic root of 72725828 is about 417.4100404979.

The spelling of 72725828 in words is "seventy-two million, seven hundred twenty-five thousand, eight hundred twenty-eight".