82800072 has 48 divisors (see below), whose sum is σ = 226256940. Its totient is φ = 27353088.

The previous prime is 82800059. The next prime is 82800089. The reversal of 82800072 is 27000828.

It can be written as a sum of positive squares in 2 ways, for example, as 77898276 + 4901796 = 8826^2 + 2214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3048 + ... + 13224.

Almost surely, 2^82800072 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 82800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113128470).

82800072 is an abundant number, since it is smaller than the sum of its proper divisors (143456868).

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

82800072 is a wasteful number, since it uses less digits than its factorization.

82800072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82800072 is about 9099.4544891438. The cubic root of 82800072 is about 435.8565445617.

The spelling of 82800072 in words is "eighty-two million, eight hundred thousand, seventy-two".