80072160 has 96 divisors (see below), whose sum is σ = 288271872. Its totient is φ = 18301440.

The previous prime is 80072089. The next prime is 80072183. The reversal of 80072160 is 6127008.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80072160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8556 + ... + 15275.

It is an arithmetic number, because the mean of its divisors is an integer number (3002832).

Almost surely, 2^80072160 is an apocalyptic number.

80072160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80072160 is an abundant number, since it is smaller than the sum of its proper divisors (208199712).

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

80072160 is a wasteful number, since it uses less digits than its factorization.

80072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23848 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 80072160 is about 8948.3048674037. The cubic root of 80072160 is about 431.0164524129.

Adding to 80072160 its reverse (6127008), we get a palindrome (86199168).

The spelling of 80072160 in words is "eighty million, seventy-two thousand, one hundred sixty".