72080928 has 60 divisors (see below), whose sum is σ = 211995630. Its totient is φ = 24026112.

The previous prime is 72080923. The next prime is 72080947. The reversal of 72080928 is 82908027.

It can be written as a sum of positive squares in only one way, i.e., 55532304 + 16548624 = 7452^2 + 4068^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72080892 and 72080901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080923) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11313 + ... + 16496.

Almost surely, 2^72080928 is an apocalyptic number.

It is an amenable number.

72080928 is an abundant number, since it is smaller than the sum of its proper divisors (139914702).

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

72080928 is a wasteful number, since it uses less digits than its factorization.

72080928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27831 (or 27814 counting only the distinct ones).

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

The square root of 72080928 is about 8490.0487631108. The cubic root of 72080928 is about 416.1725738629.

The spelling of 72080928 in words is "seventy-two million, eighty thousand, nine hundred twenty-eight".