80638272 has 252 divisors, whose sum is σ = 276674580. Its totient is φ = 22302720.

The previous prime is 80638249. The next prime is 80638273. The reversal of 80638272 is 27283608.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 66977856 = 3696^2 + 8184^2 .

It is a super-2 number, since 2×80638272² = 13005061822291968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80638273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906004 + ... + 906092.

It is an arithmetic number, because the mean of its divisors is an integer number (1097915).

Almost surely, 2^80638272 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 80638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138337290).

80638272 is an abundant number, since it is smaller than the sum of its proper divisors (196036308).

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

80638272 is a wasteful number, since it uses less digits than its factorization.

80638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80638272 is about 8979.8815136949. The cubic root of 80638272 is about 432.0298333306.

The spelling of 80638272 in words is "eighty million, six hundred thirty-eight thousand, two hundred seventy-two".