72828280 has 64 divisors (see below), whose sum is σ = 193752000. Its totient is φ = 24105984.

The previous prime is 72828257. The next prime is 72828293. The reversal of 72828280 is 8282827.

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 15 ways as a sum of consecutive naturals, for example, 3636 + ... + 12604.

It is an arithmetic number, because the mean of its divisors is an integer number (3027375).

Almost surely, 2^72828280 is an apocalyptic number.

72828280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96876000).

72828280 is an abundant number, since it is smaller than the sum of its proper divisors (120923720).

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

72828280 is a wasteful number, since it uses less digits than its factorization.

72828280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 72828280 is about 8533.9486757304. The cubic root of 72828280 is about 417.6059563504.

The spelling of 72828280 in words is "seventy-two million, eight hundred twenty-eight thousand, two hundred eighty".