72084800 has 42 divisors (see below), whose sum is σ = 177377598. Its totient is φ = 28833280.

The previous prime is 72084797. The next prime is 72084851. The reversal of 72084800 is 848027.

It can be written as a sum of positive squares in 3 ways, for example, as 8340544 + 63744256 = 2888^2 + 7984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20927 + ... + 24126.

Almost surely, 2^72084800 is an apocalyptic number.

It is an amenable number.

72084800 is an abundant number, since it is smaller than the sum of its proper divisors (105292798).

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

72084800 is a wasteful number, since it uses less digits than its factorization.

72084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45075 (or 45060 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 72084800 is about 8490.2767917189. The cubic root of 72084800 is about 416.1800256323.

The spelling of 72084800 in words is "seventy-two million, eighty-four thousand, eight hundred".