8210072 has 32 divisors (see below), whose sum is σ = 16783200. Its totient is φ = 3742464.

The previous prime is 8210063. The next prime is 8210077. The reversal of 8210072 is 2700128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8210077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8813 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 2^8210072 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 8210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391600).

8210072 is an abundant number, since it is smaller than the sum of its proper divisors (8573128).

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

8210072 is a wasteful number, since it uses less digits than its factorization.

8210072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 8210072 is about 2865.3223204380. The cubic root of 8210072 is about 201.7354966959.

The spelling of 8210072 in words is "eight million, two hundred ten thousand, seventy-two".