72284904 has 24 divisors (see below), whose sum is σ = 195771810. Its totient is φ = 24094944.

The previous prime is 72284881. The next prime is 72284909. The reversal of 72284904 is 40948227.

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 900 = 8502^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (72284909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501907 + ... + 502050.

Almost surely, 2^72284904 is an apocalyptic number.

It is an amenable number.

72284904 is an abundant number, since it is smaller than the sum of its proper divisors (123486906).

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

72284904 is a wasteful number, since it uses less digits than its factorization.

72284904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003969 (or 1003962 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72284904 is about 8502.0529285579. The cubic root of 72284904 is about 416.5647685401.

The spelling of 72284904 in words is "seventy-two million, two hundred eighty-four thousand, nine hundred four".