72984080 has 40 divisors (see below), whose sum is σ = 182743512. Its totient is φ = 26947584.

The previous prime is 72984053. The next prime is 72984089. The reversal of 72984080 is 8048927.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 70829056 = 1468^2 + 8416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (72984089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34049 + ... + 36128.

Almost surely, 2^72984080 is an apocalyptic number.

It is an amenable number.

72984080 is an abundant number, since it is smaller than the sum of its proper divisors (109759432).

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

72984080 is a wasteful number, since it uses less digits than its factorization.

72984080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70203 (or 70197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 72984080 is about 8543.0720469864. The cubic root of 72984080 is about 417.9035361142.

The spelling of 72984080 in words is "seventy-two million, nine hundred eighty-four thousand, eighty".