80242272 has 96 divisors (see below), whose sum is σ = 255346560. Its totient is φ = 24312960.

The previous prime is 80242247. The next prime is 80242273. The reversal of 80242272 is 27224208.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80242273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283 + ... + 13725.

It is an arithmetic number, because the mean of its divisors is an integer number (2659860).

Almost surely, 2^80242272 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 80242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127673280).

80242272 is an abundant number, since it is smaller than the sum of its proper divisors (175104288).

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

80242272 is a wasteful number, since it uses less digits than its factorization.

80242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 80242272 is about 8957.8050883015. The cubic root of 80242272 is about 431.3214656610.

It can be divided in two parts, 8024 and 2272, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 80242272 in words is "eighty million, two hundred forty-two thousand, two hundred seventy-two".