80072928 has 96 divisors (see below), whose sum is σ = 251546400. Its totient is φ = 24634368.

The previous prime is 80072911. The next prime is 80072929. The reversal of 80072928 is 82927008.

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 (36).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 80072892 and 80072901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80072929) 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 15 ways as a sum of consecutive naturals, for example, 7668 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (2620275).

Almost surely, 2^80072928 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 80072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125773200).

80072928 is an abundant number, since it is smaller than the sum of its proper divisors (171473472).

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

80072928 is a wasteful number, since it uses less digits than its factorization.

80072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80072928 is about 8948.3477804565. The cubic root of 80072928 is about 431.0178304182.

The spelling of 80072928 in words is "eighty million, seventy-two thousand, nine hundred twenty-eight".