80972672 has 64 divisors (see below), whose sum is σ = 177724800. Its totient is φ = 36441600.

The previous prime is 80972629. The next prime is 80972677. The reversal of 80972672 is 27627908.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×80972672² = 13113147221639168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80972677) 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 7 ways as a sum of consecutive naturals, for example, 184229 + ... + 184667.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2^80972672 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 80972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862400).

80972672 is an abundant number, since it is smaller than the sum of its proper divisors (96752128).

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

80972672 is a wasteful number, since it uses less digits than its factorization.

80972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 80972672 is about 8998.4816497007. The cubic root of 80972672 is about 432.6262066112.

The spelling of 80972672 in words is "eighty million, nine hundred seventy-two thousand, six hundred seventy-two".