828075072 has 112 divisors (see below), whose sum is σ = 2494190592. Its totient is φ = 240007680.

The previous prime is 828075067. The next prime is 828075103. The reversal of 828075072 is 270570828.

It is a self number, because there is not a number n which added to its sum of digits gives 828075072.

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, 40053 + ... + 57099.

Almost surely, 2^828075072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247095296).

828075072 is an abundant number, since it is smaller than the sum of its proper divisors (1666115520).

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

828075072 is a wasteful number, since it uses less digits than its factorization.

828075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096 (or 17086 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 828075072 is about 28776.2935764841. The cubic root of 828075072 is about 939.0525658404.

The spelling of 828075072 in words is "eight hundred twenty-eight million, seventy-five thousand, seventy-two".