80217072 has 120 divisors (see below), whose sum is σ = 245494704. Its totient is φ = 24302592.

The previous prime is 80217061. The next prime is 80217079. The reversal of 80217072 is 27071208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80217079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136363 + ... + 136949.

Almost surely, 2^80217072 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 80217072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122747352).

80217072 is an abundant number, since it is smaller than the sum of its proper divisors (165277632).

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

80217072 is a wasteful number, since it uses less digits than its factorization.

80217072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 80217072 is about 8956.3983832789. The cubic root of 80217072 is about 431.2763089180.

The spelling of 80217072 in words is "eighty million, two hundred seventeen thousand, seventy-two".