80512272 has 160 divisors (see below), whose sum is σ = 258019200. Its totient is φ = 23887872.

The previous prime is 80512261. The next prime is 80512277. The reversal of 80512272 is 27221508.

80512272 is a `hidden beast` number, since 80 + 512 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (80512277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139248 + ... + 139824.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 2^80512272 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 80512272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129009600).

80512272 is an abundant number, since it is smaller than the sum of its proper divisors (177506928).

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

80512272 is a wasteful number, since it uses less digits than its factorization.

80512272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 80512272 is about 8972.8630882233. The cubic root of 80512272 is about 431.8046956681.

The spelling of 80512272 in words is "eighty million, five hundred twelve thousand, two hundred seventy-two".